102002511142032 has 40 divisors (see below), whose sum is σ = 274963290907584. Its totient is φ = 32522539784064.

The previous prime is 102002511142003. The next prime is 102002511142039. The reversal of 102002511142032 is 230241115200201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102002511141993 and 102002511142011.

It is not an unprimeable number, because it can be changed into a prime (102002511142039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46196788363 + ... + 46196790570.

Almost surely, 2^{102002511142032} is an apocalyptic number.

102002511142032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102002511142032 is an abundant number, since it is smaller than the sum of its proper divisors (172960779765552).

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

102002511142032 is a wasteful number, since it uses less digits than its factorization.

102002511142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92393578967 (or 92393578961 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 102002511142032 its reverse (230241115200201), we get a palindrome (332243626342233).

The spelling of 102002511142032 in words is "one hundred two trillion, two billion, five hundred eleven million, one hundred forty-two thousand, thirty-two".