10202120220020 has 144 divisors (see below), whose sum is σ = 22364717327568. Its totient is φ = 3907822264320.

The previous prime is 10202120219983. The next prime is 10202120220031. The reversal of 10202120220020 is 2002202120201.

10202120220020 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 8 ways, for example, as 48299731984 + 10153820488036 = 219772^2 + 3186506^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10202120219977 and 10202120220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873388580 + ... + 873400260.

It is an arithmetic number, because the mean of its divisors is an integer number (155310536997).

Almost surely, 2^{10202120220020} is an apocalyptic number.

10202120220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202120220020 is an abundant number, since it is smaller than the sum of its proper divisors (12162597107548).

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

10202120220020 is a wasteful number, since it uses less digits than its factorization.

10202120220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12210 (or 12161 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10202120220020 its reverse (2002202120201), we get a palindrome (12204322340221).

The spelling of 10202120220020 in words is "ten trillion, two hundred two billion, one hundred twenty million, two hundred twenty thousand, twenty".