102120100000 has 144 divisors (see below), whose sum is σ = 255429948312. Its totient is φ = 40176000000.

The previous prime is 102120099923. The next prime is 102120100013. The reversal of 102120100000 is 1021201.

It can be written as a sum of positive squares in 12 ways, for example, as 45835384464 + 56284715536 = 214092^2 + 237244^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6091630 + ... + 6108370.

Almost surely, 2^102120100000 is an apocalyptic number.

102120100000 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 102120100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127714974156).

102120100000 is an abundant number, since it is smaller than the sum of its proper divisors (153309848312).

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

102120100000 is an frugal number, since it uses more digits than its factorization.

102120100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16837 (or 16809 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 102120100000 its reverse (1021201), we get a palindrome (102121121201).

102120100000 divided by its reverse (1021201) gives a 5-th power (100000 = 10⁵).

The spelling of 102120100000 in words is "one hundred two billion, one hundred twenty million, one hundred thousand".