10202120000 has 70 divisors (see below), whose sum is σ = 25298041098. Its totient is φ = 4080832000.

The previous prime is 10202119997. The next prime is 10202120011. The reversal of 10202120000 is 2120201.

It can be written as a sum of positive squares in 5 ways, for example, as 3371428096 + 6830691904 = 58064^2 + 82648^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10202120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 87527 + ... + 167526.

Almost surely, 2^10202120000 is an apocalyptic number.

10202120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202120000 is an abundant number, since it is smaller than the sum of its proper divisors (15095921098).

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

10202120000 is an frugal number, since it uses more digits than its factorization.

10202120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255085 (or 255060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10202120000 its reverse (2120201), we get a palindrome (10204240201).

The spelling of 10202120000 in words is "ten billion, two hundred two million, one hundred twenty thousand".