100010111221220 has 24 divisors (see below), whose sum is σ = 213464204609208. Its totient is φ = 39348240480000.

The previous prime is 100010111221169. The next prime is 100010111221231. The reversal of 100010111221220 is 22122111010001.

It can be written as a sum of positive squares in 4 ways, for example, as 7263542449216 + 92746568772004 = 2695096^2 + 9630502^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100010111221195 and 100010111221204.

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, 40987749281 + ... + 40987751720.

It is an arithmetic number, because the mean of its divisors is an integer number (8894341858717).

Almost surely, 2^{100010111221220} is an apocalyptic number.

100010111221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010111221220 is an abundant number, since it is smaller than the sum of its proper divisors (113454093387988).

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

100010111221220 is a wasteful number, since it uses less digits than its factorization.

100010111221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81975501071 (or 81975501069 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100010111221220 its reverse (22122111010001), we get a palindrome (122132222231221).

The spelling of 100010111221220 in words is "one hundred trillion, ten billion, one hundred eleven million, two hundred twenty-one thousand, two hundred twenty".