102001033032 has 32 divisors (see below), whose sum is σ = 255011976000. Its totient is φ = 33999091904.

The previous prime is 102001033007. The next prime is 102001033033. The reversal of 102001033032 is 230330100201.

102001033032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102001033032² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102001033033) 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, 777973 + ... + 899579.

It is an arithmetic number, because the mean of its divisors is an integer number (7969124250).

Almost surely, 2^102001033032 is an apocalyptic number.

102001033032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102001033032 is an abundant number, since it is smaller than the sum of its proper divisors (153010942968).

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

102001033032 is a wasteful number, since it uses less digits than its factorization.

102001033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156565 (or 156561 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102001033032 its reverse (230330100201), we get a palindrome (332331133233).

The spelling of 102001033032 in words is "one hundred two billion, one million, thirty-three thousand, thirty-two".