102010301123232 has 96 divisors (see below), whose sum is σ = 270975562401600. Its totient is φ = 33597807761408.

The previous prime is 102010301123221. The next prime is 102010301123239. The reversal of 102010301123232 is 232321103010201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×102010301123232² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102010301123199 and 102010301123208.

It is not an unprimeable number, because it can be changed into a prime (102010301123239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8008894 + ... + 16375682.

It is an arithmetic number, because the mean of its divisors is an integer number (2822662108350).

Almost surely, 2^{102010301123232} is an apocalyptic number.

102010301123232 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 102010301123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135487781200800).

102010301123232 is an abundant number, since it is smaller than the sum of its proper divisors (168965261278368).

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

102010301123232 is a wasteful number, since it uses less digits than its factorization.

102010301123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368318 (or 8368310 counting only the distinct ones).

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

Adding to 102010301123232 its reverse (232321103010201), we get a palindrome (334331404133433).

The spelling of 102010301123232 in words is "one hundred two trillion, ten billion, three hundred one million, one hundred twenty-three thousand, two hundred thirty-two".