10100100220020 has 36 divisors (see below), whose sum is σ = 30636970667940. Its totient is φ = 2693360058624.

The previous prime is 10100100220019. The next prime is 10100100220031. The reversal of 10100100220020 is 2002200100101.

10100100220020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7892076592656 + 2208023627364 = 2809284^2 + 1485942^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100100219984 and 10100100220011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28055833765 + ... + 28055834124.

Almost surely, 2^{10100100220020} is an apocalyptic number.

10100100220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100100220020 is an abundant number, since it is smaller than the sum of its proper divisors (20536870447920).

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

10100100220020 is a wasteful number, since it uses less digits than its factorization.

10100100220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56111667904 (or 56111667899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10100100220020 its reverse (2002200100101), we get a palindrome (12102300320121).

The spelling of 10100100220020 in words is "ten trillion, one hundred billion, one hundred million, two hundred twenty thousand, twenty".