100101111021220 has 24 divisors (see below), whose sum is σ = 213658436969208. Its totient is φ = 39384043680000.

The previous prime is 100101111021211. The next prime is 100101111021313. The reversal of 100101111021220 is 22120111101001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3891182321664 + 96209928699556 = 1972608^2 + 9808666^2 .

It is a super-2 number, since 2×100101111021220² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100101111021220.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41025044281 + ... + 41025046720.

It is an arithmetic number, because the mean of its divisors is an integer number (8902434873717).

Almost surely, 2^{100101111021220} is an apocalyptic number.

100101111021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101111021220 is an abundant number, since it is smaller than the sum of its proper divisors (113557325947988).

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

100101111021220 is a wasteful number, since it uses less digits than its factorization.

100101111021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82050091071 (or 82050091069 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100101111021220 its reverse (22120111101001), we get a palindrome (122221222122221).

The spelling of 100101111021220 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, twenty-one thousand, two hundred twenty".