100222200102020 has 48 divisors (see below), whose sum is σ = 211252715800560. Its totient is φ = 39939152761344.

The previous prime is 100222200101957. The next prime is 100222200102023. The reversal of 100222200102020 is 20201002222001.

It can be written as a sum of positive squares in 8 ways, for example, as 47683361438596 + 52538838663424 = 6905314^2 + 7248368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100222200101986 and 100222200102004.

It is not an unprimeable number, because it can be changed into a prime (100222200102023) 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, 398408522 + ... + 398659998.

It is an arithmetic number, because the mean of its divisors is an integer number (4401098245845).

Almost surely, 2^{100222200102020} is an apocalyptic number.

100222200102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222200102020 is an abundant number, since it is smaller than the sum of its proper divisors (111030515698540).

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

100222200102020 is a wasteful number, since it uses less digits than its factorization.

100222200102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325832 (or 325830 counting only the distinct ones).

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

Adding to 100222200102020 its reverse (20201002222001), we get a palindrome (120423202324021).

The spelling of 100222200102020 in words is "one hundred trillion, two hundred twenty-two billion, two hundred million, one hundred two thousand, twenty".