10100212200020 has 12 divisors (see below), whose sum is σ = 21210445620084. Its totient is φ = 4040084880000.

The previous prime is 10100212199929. The next prime is 10100212200037. The reversal of 10100212200020 is 2000221200101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6777889419844 + 3322322780176 = 2603438^2 + 1822724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100212199974 and 10100212200010.

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 3 ways as a sum of consecutive naturals, for example, 252505304981 + ... + 252505305020.

It is an arithmetic number, because the mean of its divisors is an integer number (1767537135007).

Almost surely, 2^{10100212200020} is an apocalyptic number.

10100212200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100212200020 is an abundant number, since it is smaller than the sum of its proper divisors (11110233420064).

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

10100212200020 is a wasteful number, since it uses less digits than its factorization.

10100212200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505010610010 (or 505010610008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10100212200020 its reverse (2000221200101), we get a palindrome (12100433400121).

The spelling of 10100212200020 in words is "ten trillion, one hundred billion, two hundred twelve million, two hundred thousand, twenty".