102110022211300 has 72 divisors (see below), whose sum is σ = 231216282460800. Its totient is φ = 39067561336320.

The previous prime is 102110022211279. The next prime is 102110022211303. The reversal of 102110022211300 is 3112220011201.

It is not an unprimeable number, because it can be changed into a prime (102110022211303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160242721 + ... + 160878679.

It is an arithmetic number, because the mean of its divisors is an integer number (3211337256400).

Almost surely, 2^{102110022211300} is an apocalyptic number.

102110022211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110022211300 is an abundant number, since it is smaller than the sum of its proper divisors (129106260249500).

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

102110022211300 is a wasteful number, since it uses less digits than its factorization.

102110022211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705805 (or 705798 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102110022211300 its reverse (3112220011201), we get a palindrome (105222242222501).

It can be divided in two parts, 1021100 and 22211300, that added together give a square (23232400 = 4820²).

The spelling of 102110022211300 in words is "one hundred two trillion, one hundred ten billion, twenty-two million, two hundred eleven thousand, three hundred".