100020122202020 has 48 divisors (see below), whose sum is σ = 211501618579440. Its totient is φ = 39730803818496.

The previous prime is 100020122201983. The next prime is 100020122202029. The reversal of 100020122202020 is 20202221020001.

It can be written as a sum of positive squares in 8 ways, for example, as 7594356477796 + 92425765724224 = 2755786^2 + 9613832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100020122201986 and 100020122202004.

It is not an unprimeable number, because it can be changed into a prime (100020122202029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20573387 + ... + 24966066.

It is an arithmetic number, because the mean of its divisors is an integer number (4406283720405).

Almost surely, 2^{100020122202020} is an apocalyptic number.

100020122202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020122202020 is an abundant number, since it is smaller than the sum of its proper divisors (111481496377420).

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

100020122202020 is a wasteful number, since it uses less digits than its factorization.

100020122202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45540224 (or 45540222 counting only the distinct ones).

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

Adding to 100020122202020 its reverse (20202221020001), we get a palindrome (120222343222021).

The spelling of 100020122202020 in words is "one hundred trillion, twenty billion, one hundred twenty-two million, two hundred two thousand, twenty".