101022202002020 has 48 divisors (see below), whose sum is σ = 229290381002928. Its totient is φ = 37165846464000.

The previous prime is 101022202001999. The next prime is 101022202002079. The reversal of 101022202002020 is 20200202220101.

It can be written as a sum of positive squares in 8 ways, for example, as 1376248074496 + 99645953927524 = 1173136^2 + 9982282^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101022202001986 and 101022202002004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 701276231 + ... + 701420270.

It is an arithmetic number, because the mean of its divisors is an integer number (4776882937561).

Almost surely, 2^{101022202002020} is an apocalyptic number.

101022202002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022202002020 is an abundant number, since it is smaller than the sum of its proper divisors (128268179000908).

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

101022202002020 is a wasteful number, since it uses less digits than its factorization.

101022202002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402696800 (or 1402696798 counting only the distinct ones).

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

Adding to 101022202002020 its reverse (20200202220101), we get a palindrome (121222404222121).

The spelling of 101022202002020 in words is "one hundred one trillion, twenty-two billion, two hundred two million, two thousand, twenty".