100102102122120 has 512 divisors, whose sum is σ = 369631226880000. Its totient is φ = 21165217726464.

The previous prime is 100102102122109. The next prime is 100102102122193. The reversal of 100102102122120 is 21221201201001.

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 100102102122120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5627182186 + ... + 5627199974.

It is an arithmetic number, because the mean of its divisors is an integer number (721935990000).

Almost surely, 2^{100102102122120} is an apocalyptic number.

100102102122120 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 100102102122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184815613440000).

100102102122120 is an abundant number, since it is smaller than the sum of its proper divisors (269529124757880).

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

100102102122120 is a wasteful number, since it uses less digits than its factorization.

100102102122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24565 (or 24561 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100102102122120 its reverse (21221201201001), we get a palindrome (121323303323121).

The spelling of 100102102122120 in words is "one hundred trillion, one hundred two billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty".