102100120211110 has 32 divisors (see below), whose sum is σ = 210034938839040. Its totient is φ = 35005687862112.

The previous prime is 102100120211099. The next prime is 102100120211153. The reversal of 102100120211110 is 11112021001201.

It is a happy number.

It is a super-2 number, since 2×102100120211110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46750747 + ... + 48885913.

It is an arithmetic number, because the mean of its divisors is an integer number (6563591838720).

Almost surely, 2^{102100120211110} is an apocalyptic number.

102100120211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100120211110 is an abundant number, since it is smaller than the sum of its proper divisors (107934818627930).

102100120211110 is a wasteful number, since it uses less digits than its factorization.

102100120211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818300.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102100120211110 its reverse (11112021001201), we get a palindrome (113212141212311).

The spelling of 102100120211110 in words is "one hundred two trillion, one hundred billion, one hundred twenty million, two hundred eleven thousand, one hundred ten".