102100110212100 has 576 divisors, whose sum is σ = 397281692344320. Its totient is φ = 19551655065600.

The previous prime is 102100110212071. The next prime is 102100110212201. The reversal of 102100110212100 is 1212011001201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 183806581 + ... + 184361219.

It is an arithmetic number, because the mean of its divisors is an integer number (689725160320).

Almost surely, 2^{102100110212100} is an apocalyptic number.

102100110212100 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 102100110212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198640846172160).

102100110212100 is an abundant number, since it is smaller than the sum of its proper divisors (295181582132220).

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

102100110212100 is a wasteful number, since it uses less digits than its factorization.

102100110212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555300 (or 555293 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102100110212100 its reverse (1212011001201), we get a palindrome (103312121213301).

The spelling of 102100110212100 in words is "one hundred two trillion, one hundred billion, one hundred ten million, two hundred twelve thousand, one hundred".