10102011210020 has 12 divisors (see below), whose sum is σ = 21214223541084. Its totient is φ = 4040804484000.

The previous prime is 10102011210017. The next prime is 10102011210107. The reversal of 10102011210020 is 2001211020101.

It can be written as a sum of positive squares in 2 ways, for example, as 6993052335844 + 3108958874176 = 2644438^2 + 1763224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10102011209983 and 10102011210010.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252550280231 + ... + 252550280270.

It is an arithmetic number, because the mean of its divisors is an integer number (1767851961757).

Almost surely, 2^{10102011210020} is an apocalyptic number.

10102011210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102011210020 is an abundant number, since it is smaller than the sum of its proper divisors (11112212331064).

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

10102011210020 is a wasteful number, since it uses less digits than its factorization.

10102011210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505100560510 (or 505100560508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10102011210020 its reverse (2001211020101), we get a palindrome (12103222230121).

The spelling of 10102011210020 in words is "ten trillion, one hundred two billion, eleven million, two hundred ten thousand, twenty".