102120331100 has 144 divisors (see below), whose sum is σ = 240164815968. Its totient is φ = 37546229760.

The previous prime is 102120331069. The next prime is 102120331127. The reversal of 102120331100 is 1133021201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20450204 + ... + 20455196.

It is an arithmetic number, because the mean of its divisors is an integer number (1667811222).

Almost surely, 2^102120331100 is an apocalyptic number.

102120331100 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 102120331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120082407984).

102120331100 is an abundant number, since it is smaller than the sum of its proper divisors (138044484868).

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

102120331100 is a wasteful number, since it uses less digits than its factorization.

102120331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102120331100 its reverse (1133021201), we get a palindrome (103253352301).

The spelling of 102120331100 in words is "one hundred two billion, one hundred twenty million, three hundred thirty-one thousand, one hundred".