102100111101210 has 128 divisors (see below), whose sum is σ = 257872317050880. Its totient is φ = 25821573465600.

The previous prime is 102100111101127. The next prime is 102100111101227. The reversal of 102100111101210 is 12101111001201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72288075 + ... + 73686945.

It is an arithmetic number, because the mean of its divisors is an integer number (2014627476960).

Almost surely, 2^{102100111101210} is an apocalyptic number.

102100111101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100111101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128936158525440).

102100111101210 is an abundant number, since it is smaller than the sum of its proper divisors (155772205949670).

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

102100111101210 is a wasteful number, since it uses less digits than its factorization.

102100111101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399804.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102100111101210 its reverse (12101111001201), we get a palindrome (114201222102411).

The spelling of 102100111101210 in words is "one hundred two trillion, one hundred billion, one hundred eleven million, one hundred one thousand, two hundred ten".