202010011012000 has 48 divisors (see below), whose sum is σ = 496338597066312. Its totient is φ = 80804004403200.

The previous prime is 202010011011983. The next prime is 202010011012013. The reversal of 202010011012000 is 210110010202.

It can be written as a sum of positive squares in 4 ways, for example, as 19803532413456 + 182206478598544 = 4450116^2 + 13498388^2 .

It is a super-2 number, since 2×202010011012000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25251247377 + ... + 25251255376.

Almost surely, 2^{202010011012000} is an apocalyptic number.

202010011012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202010011012000 is an abundant number, since it is smaller than the sum of its proper divisors (294328586054312).

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

202010011012000 is an equidigital number, since it uses as much as digits as its factorization.

202010011012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50502502778 (or 50502502760 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202010011012000 its reverse (210110010202), we get a palindrome (202220121022202).

It can be divided in two parts, 2020100 and 11012000, that added together give a square (13032100 = 3610²).

The spelling of 202010011012000 in words is "two hundred two trillion, ten billion, eleven million, twelve thousand".