102100122112110 has 16 divisors (see below), whose sum is σ = 245040293069136. Its totient is φ = 27226699229888.

The previous prime is 102100122112099. The next prime is 102100122112117. The reversal of 102100122112110 is 11211221001201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102100122112110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100122112117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1701668701839 + ... + 1701668701898.

It is an arithmetic number, because the mean of its divisors is an integer number (15315018316821).

Almost surely, 2^{102100122112110} is an apocalyptic number.

102100122112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100122112110 is an abundant number, since it is smaller than the sum of its proper divisors (142940170957026).

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

102100122112110 is a wasteful number, since it uses less digits than its factorization.

102100122112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403337403747.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102100122112110 its reverse (11211221001201), we get a palindrome (113311343113311).

The spelling of 102100122112110 in words is "one hundred two trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand, one hundred ten".