102311100330032 has 160 divisors (see below), whose sum is σ = 218325319999488. Its totient is φ = 46060778880000.

The previous prime is 102311100330031. The next prime is 102311100330037. The reversal of 102311100330032 is 230033001113201.

It is a super-2 number, since 2×102311100330032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102311100329986 and 102311100330013.

It is not an unprimeable number, because it can be changed into a prime (102311100330031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16211548157 + ... + 16211554467.

Almost surely, 2^{102311100330032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102311100330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109162659999744).

102311100330032 is an abundant number, since it is smaller than the sum of its proper divisors (116014219669456).

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

102311100330032 is a wasteful number, since it uses less digits than its factorization.

102311100330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8539 (or 8533 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 102311100330032 its reverse (230033001113201), we get a palindrome (332344101443233).

The spelling of 102311100330032 in words is "one hundred two trillion, three hundred eleven billion, one hundred million, three hundred thirty thousand, thirty-two".