100012111221 has 32 divisors (see below), whose sum is σ = 150944266368. Its totient is φ = 58367139840.

The previous prime is 100012111201. The next prime is 100012111259. The reversal of 100012111221 is 122111210001.

It is not a de Polignac number, because 100012111221 - 2¹¹ = 100012109173 is a prime.

It is a super-2 number, since 2×100012111221² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100012111197 and 100012111206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012111201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303780 + ... + 540653.

It is an arithmetic number, because the mean of its divisors is an integer number (4717008324).

Almost surely, 2^100012111221 is an apocalyptic number.

100012111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012111221 is a deficient number, since it is larger than the sum of its proper divisors (50932155147).

100012111221 is a wasteful number, since it uses less digits than its factorization.

100012111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844581.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100012111221 its reverse (122111210001), we get a palindrome (222123321222).

The spelling of 100012111221 in words is "one hundred billion, twelve million, one hundred eleven thousand, two hundred twenty-one".