10102033000032 has 72 divisors (see below), whose sum is σ = 28169466665256. Its totient is φ = 3169265246208.

The previous prime is 10102032999943. The next prime is 10102033000123. The reversal of 10102033000032 is 23000033020101.

It is a super-2 number, since 2×10102033000032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102032999975 and 10102033000020.

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, 182030233 + ... + 182085720.

It is an arithmetic number, because the mean of its divisors is an integer number (391242592573).

Almost surely, 2^{10102033000032} is an apocalyptic number.

10102033000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102033000032 is an abundant number, since it is smaller than the sum of its proper divisors (18067433665224).

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

10102033000032 is a wasteful number, since it uses less digits than its factorization.

10102033000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364116000 (or 364115975 counting only the distinct ones).

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

Adding to 10102033000032 its reverse (23000033020101), we get a palindrome (33102066020133).

The spelling of 10102033000032 in words is "ten trillion, one hundred two billion, thirty-three million, thirty-two", and thus it is an aban number.