102100222102120 has 64 divisors (see below), whose sum is σ = 250649352858240. Its totient is φ = 37121469523200.

The previous prime is 102100222102091. The next prime is 102100222102133. The reversal of 102100222102120 is 21201222001201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102100222102094 and 102100222102103.

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, 15607407 + ... + 21161086.

It is an arithmetic number, because the mean of its divisors is an integer number (3916396138410).

Almost surely, 2^{102100222102120} is an apocalyptic number.

102100222102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100222102120 is an abundant number, since it is smaller than the sum of its proper divisors (148549130756120).

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

102100222102120 is a wasteful number, since it uses less digits than its factorization.

102100222102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36774826 (or 36774822 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102100222102120 its reverse (21201222001201), we get a palindrome (123301444103321).

The spelling of 102100222102120 in words is "one hundred two trillion, one hundred billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty".