102010101332232 has 128 divisors (see below), whose sum is σ = 270376195276800. Its totient is φ = 32016006086400.

The previous prime is 102010101332213. The next prime is 102010101332261. The reversal of 102010101332232 is 232233101010201.

It is a super-2 number, since 2×102010101332232² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102010101332199 and 102010101332208.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1191121269 + ... + 1191206907.

It is an arithmetic number, because the mean of its divisors is an integer number (2112314025600).

Almost surely, 2^{102010101332232} is an apocalyptic number.

102010101332232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102010101332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135188097638400).

102010101332232 is an abundant number, since it is smaller than the sum of its proper divisors (168366093944568).

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

102010101332232 is a wasteful number, since it uses less digits than its factorization.

102010101332232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128987 (or 128983 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102010101332232 its reverse (232233101010201), we get a palindrome (334243202342433).

The spelling of 102010101332232 in words is "one hundred two trillion, ten billion, one hundred one million, three hundred thirty-two thousand, two hundred thirty-two".