100222020220120 has 64 divisors (see below), whose sum is σ = 237388449196800. Its totient is φ = 37975589769600.

The previous prime is 100222020220117. The next prime is 100222020220123. The reversal of 100222020220120 is 21022020222001.

It is an interprime number because it is at equal distance from previous prime (100222020220117) and next prime (100222020220123).

It is a junction number, because it is equal to n+sod(n) for n = 100222020220094 and 100222020220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222020220123) 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, 3115645 + ... + 14496595.

It is an arithmetic number, because the mean of its divisors is an integer number (3709194518700).

Almost surely, 2^{100222020220120} is an apocalyptic number.

100222020220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222020220120 is an abundant number, since it is smaller than the sum of its proper divisors (137166428976680).

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

100222020220120 is a wasteful number, since it uses less digits than its factorization.

100222020220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11392568 (or 11392564 counting only the distinct ones).

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

Adding to 100222020220120 its reverse (21022020222001), we get a palindrome (121244040442121).

The spelling of 100222020220120 in words is "one hundred trillion, two hundred twenty-two billion, twenty million, two hundred twenty thousand, one hundred twenty".