102102010101100 has 72 divisors (see below), whose sum is σ = 223813227130416. Its totient is φ = 40425924000000.

The previous prime is 102102010101073. The next prime is 102102010101163. The reversal of 102102010101100 is 1101010201201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37582570 + ... + 40207630.

It is an arithmetic number, because the mean of its divisors is an integer number (3108517043478).

Almost surely, 2^{102102010101100} is an apocalyptic number.

102102010101100 is a gapful number since it is divisible by the number (10) 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 102102010101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111906613565208).

102102010101100 is an abundant number, since it is smaller than the sum of its proper divisors (121711217029316).

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

102102010101100 is a wasteful number, since it uses less digits than its factorization.

102102010101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629027 (or 2629020 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102102010101100 its reverse (1101010201201), we get a palindrome (103203020302301).

The spelling of 102102010101100 in words is "one hundred two trillion, one hundred two billion, ten million, one hundred one thousand, one hundred".