100477121 has 2 divisors, whose sum is σ = 100477122. Its totient is φ = 100477120.

The previous prime is 100477103. The next prime is 100477129. The reversal of 100477121 is 121774001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98406400 + 2070721 = 9920^2 + 1439^2 .

It is a cyclic number.

It is not a de Polignac number, because 100477121 - 2¹⁸ = 100214977 is a prime.

It is not a weakly prime, because it can be changed into another prime (100477129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50238560 + 50238561.

It is an arithmetic number, because the mean of its divisors is an integer number (50238561).

Almost surely, 2^100477121 is an apocalyptic number.

It is an amenable number.

100477121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100477121 is an equidigital number, since it uses as much as digits as its factorization.

100477121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 100477121 is about 10023.8276621259. The cubic root of 100477121 is about 464.8959122632.

It can be divided in two parts, 1004 and 77121, that added together give a 7-th power (78125 = 5⁷).

The spelling of 100477121 in words is "one hundred million, four hundred seventy-seven thousand, one hundred twenty-one".