101257433124 has 24 divisors (see below), whose sum is σ = 239793724128. Its totient is φ = 33248709120.

The previous prime is 101257433041. The next prime is 101257433197. The reversal of 101257433124 is 421334752101.

It is a super-2 number, since 2×101257433124² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62970237 + ... + 62971844.

It is an arithmetic number, because the mean of its divisors is an integer number (9991405172).

Almost surely, 2^101257433124 is an apocalyptic number.

It is an amenable number.

101257433124 is an abundant number, since it is smaller than the sum of its proper divisors (138536291004).

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

101257433124 is a wasteful number, since it uses less digits than its factorization.

101257433124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125942155 (or 125942153 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 101257433124 in words is "one hundred one billion, two hundred fifty-seven million, four hundred thirty-three thousand, one hundred twenty-four".