10202002120020 has 96 divisors (see below), whose sum is σ = 28625845248000. Its totient is φ = 2714802822144.

The previous prime is 10202002119977. The next prime is 10202002120043. The reversal of 10202002120020 is 2002120020201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10202002119978 and 10202002120005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54875181 + ... + 55060779.

It is an arithmetic number, because the mean of its divisors is an integer number (298185888000).

Almost surely, 2^{10202002120020} is an apocalyptic number.

10202002120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202002120020 is an abundant number, since it is smaller than the sum of its proper divisors (18423843127980).

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

10202002120020 is a wasteful number, since it uses less digits than its factorization.

10202002120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187537 (or 187535 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10202002120020 its reverse (2002120020201), we get a palindrome (12204122140221).

The spelling of 10202002120020 in words is "ten trillion, two hundred two billion, two million, one hundred twenty thousand, twenty".