102100100222120 has 1024 divisors, whose sum is σ = 329741914521600. Its totient is φ = 27381473280000.

The previous prime is 102100100222083. The next prime is 102100100222123. The reversal of 102100100222120 is 21222001001201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102100100222095 and 102100100222104.

It is not an unprimeable number, because it can be changed into a prime (102100100222123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38954634410 + ... + 38954637030.

It is an arithmetic number, because the mean of its divisors is an integer number (322013588400).

Almost surely, 2^{102100100222120} is an apocalyptic number.

102100100222120 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 102100100222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164870957260800).

102100100222120 is an abundant number, since it is smaller than the sum of its proper divisors (227641814299480).

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

102100100222120 is a wasteful number, since it uses less digits than its factorization.

102100100222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102100100222120 its reverse (21222001001201), we get a palindrome (123322101223321).

The spelling of 102100100222120 in words is "one hundred two trillion, one hundred billion, one hundred million, two hundred twenty-two thousand, one hundred twenty".