102100110121100 has 144 divisors (see below), whose sum is σ = 272722777833408. Its totient is φ = 32308623912960.

The previous prime is 102100110121057. The next prime is 102100110121181. The reversal of 102100110121100 is 1121011001201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66738344 + ... + 68251056.

Almost surely, 2^{102100110121100} is an apocalyptic number.

102100110121100 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 102100110121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136361388916704).

102100110121100 is an abundant number, since it is smaller than the sum of its proper divisors (170622667712308).

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

102100110121100 is a wasteful number, since it uses less digits than its factorization.

102100110121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520164 (or 1520157 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102100110121100 its reverse (1121011001201), we get a palindrome (103221121122301).

The spelling of 102100110121100 in words is "one hundred two trillion, one hundred billion, one hundred ten million, one hundred twenty-one thousand, one hundred".