10121202202000 has 80 divisors (see below), whose sum is σ = 24518306268144. Its totient is φ = 4040997120000.

The previous prime is 10121202201989. The next prime is 10121202202037. The reversal of 10121202202000 is 20220212101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2535011677584 + 7586190524416 = 1592172^2 + 2754304^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3595081 + ... + 5759080.

Almost surely, 2^{10121202202000} is an apocalyptic number.

10121202202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121202202000 is an abundant number, since it is smaller than the sum of its proper divisors (14397104066144).

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

10121202202000 is an equidigital number, since it uses as much as digits as its factorization.

10121202202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9354725 (or 9354709 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10121202202000 its reverse (20220212101), we get a palindrome (10141422414101).

The spelling of 10121202202000 in words is "ten trillion, one hundred twenty-one billion, two hundred two million, two hundred two thousand".