100222002012020 has 96 divisors (see below), whose sum is σ = 254692073164032. Its totient is φ = 32339239815168.

The previous prime is 100222002012007. The next prime is 100222002012029. The reversal of 100222002012020 is 20210200222001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100222002011986 and 100222002012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222002012029) 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 31 ways as a sum of consecutive naturals, for example, 59012582 + ... + 60687138.

It is an arithmetic number, because the mean of its divisors is an integer number (2653042428792).

Almost surely, 2^{100222002012020} is an apocalyptic number.

100222002012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222002012020 is an abundant number, since it is smaller than the sum of its proper divisors (154470071152012).

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

100222002012020 is a wasteful number, since it uses less digits than its factorization.

100222002012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699737 (or 1699735 counting only the distinct ones).

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

Adding to 100222002012020 its reverse (20210200222001), we get a palindrome (120432202234021).

The spelling of 100222002012020 in words is "one hundred trillion, two hundred twenty-two billion, two million, twelve thousand, twenty".