101022022202020 has 24 divisors (see below), whose sum is σ = 212153896282104. Its totient is φ = 40407351803136.

The previous prime is 101022022201981. The next prime is 101022022202027. The reversal of 101022022202020 is 20202220220101.

It can be written as a sum of positive squares in 4 ways, for example, as 30869202672036 + 70152819529984 = 5556006^2 + 8375728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101022022201985 and 101022022202003.

It is not an unprimeable number, because it can be changed into a prime (101022022202027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90498747 + ... + 91608226.

It is an arithmetic number, because the mean of its divisors is an integer number (8839745678421).

Almost surely, 2^{101022022202020} is an apocalyptic number.

101022022202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022022202020 is an abundant number, since it is smaller than the sum of its proper divisors (111131874080084).

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

101022022202020 is a wasteful number, since it uses less digits than its factorization.

101022022202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182134719 (or 182134717 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 101022022202020 its reverse (20202220220101), we get a palindrome (121224242422121).

The spelling of 101022022202020 in words is "one hundred one trillion, twenty-two billion, twenty-two million, two hundred two thousand, twenty".