101120404032 has 84 divisors (see below), whose sum is σ = 305098328080. Its totient is φ = 31932755712.

The previous prime is 101120403983. The next prime is 101120404081. The reversal of 101120404032 is 230404021101.

101120404032 is a `hidden beast` number, since 101 + 120 + 40 + 403 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (101120403983) and next prime (101120404081).

It is a super-2 number, since 2×101120404032² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101120403996 and 101120404014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4608958 + ... + 4630845.

Almost surely, 2^101120404032 is an apocalyptic number.

101120404032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101120404032 is an abundant number, since it is smaller than the sum of its proper divisors (203977924048).

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

101120404032 is a wasteful number, since it uses less digits than its factorization.

101120404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9239840 (or 9239827 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101120404032 its reverse (230404021101), we get a palindrome (331524425133).

The spelling of 101120404032 in words is "one hundred one billion, one hundred twenty million, four hundred four thousand, thirty-two".