100121557 has 8 divisors (see below), whose sum is σ = 102818072. Its totient is φ = 97459200.

The previous prime is 100121533. The next prime is 100121563. The reversal of 100121557 is 755121001.

It can be written as a sum of positive squares in 4 ways, for example, as 3118756 + 97002801 = 1766^2 + 9849^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100121557 - 2⁷ = 100121429 is a prime.

It is a super-2 number, since 2×100121557² = 20048652352208498, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2544 + ... + 14377.

It is an arithmetic number, because the mean of its divisors is an integer number (12852259).

Almost surely, 2^100121557 is an apocalyptic number.

It is an amenable number.

100121557 is a deficient number, since it is larger than the sum of its proper divisors (2696515).

100121557 is an equidigital number, since it uses as much as digits as its factorization.

100121557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17079.

The product of its (nonzero) digits is 350, while the sum is 22.

The square root of 100121557 is about 10006.0760041087. The cubic root of 100121557 is about 464.3468797455.

Adding to 100121557 its reverse (755121001), we get a palindrome (855242558).

The spelling of 100121557 in words is "one hundred million, one hundred twenty-one thousand, five hundred fifty-seven".