100121120222020 has 48 divisors (see below), whose sum is σ = 213413927691888. Its totient is φ = 39450649817600.

The previous prime is 100121120221987. The next prime is 100121120222027. The reversal of 100121120222020 is 20222021121001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 38579229043524 + 61541891178496 = 6211218^2 + 7844864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100121120221985 and 100121120222003.

It is not an unprimeable number, because it can be changed into a prime (100121120222027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125401327 + ... + 126197206.

It is an arithmetic number, because the mean of its divisors is an integer number (4446123493581).

Almost surely, 2^{100121120222020} is an apocalyptic number.

100121120222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121120222020 is an abundant number, since it is smaller than the sum of its proper divisors (113292807469868).

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

100121120222020 is a wasteful number, since it uses less digits than its factorization.

100121120222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251598840 (or 251598838 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100121120222020 its reverse (20222021121001), we get a palindrome (120343141343021).

The spelling of 100121120222020 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty million, two hundred twenty-two thousand, twenty".