101124414 has 24 divisors (see below), whose sum is σ = 220077000. Its totient is φ = 33558288.

The previous prime is 101124389. The next prime is 101124427. The reversal of 101124414 is 414421101.

It is a super-2 number, since 2×101124414² = 20452294213686792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8289 + ... + 16460.

It is an arithmetic number, because the mean of its divisors is an integer number (9169875).

Almost surely, 2^101124414 is an apocalyptic number.

101124414 is an abundant number, since it is smaller than the sum of its proper divisors (118952586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101124414 is a wasteful number, since it uses less digits than its factorization.

101124414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24984 (or 24981 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 101124414 is about 10056.0635439520. The cubic root of 101124414 is about 465.8920925094.

Adding to 101124414 its reverse (414421101), we get a palindrome (515545515).

It can be divided in two parts, 1011 and 24414, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 101124414 in words is "one hundred one million, one hundred twenty-four thousand, four hundred fourteen".