100221100211112 has 32 divisors (see below), whose sum is σ = 250556101390080. Its totient is φ = 33406586622080.

The previous prime is 100221100211077. The next prime is 100221100211147. The reversal of 100221100211112 is 211112001122001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100221100211077) and next prime (100221100211147).

It is a junction number, because it is equal to n+sod(n) for n = 100221100211091 and 100221100211100.

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, 26089464 + ... + 29683367.

It is an arithmetic number, because the mean of its divisors is an integer number (7829878168440).

Almost surely, 2^{100221100211112} is an apocalyptic number.

100221100211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221100211112 is an abundant number, since it is smaller than the sum of its proper divisors (150335001178968).

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

100221100211112 is a wasteful number, since it uses less digits than its factorization.

100221100211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55847713 (or 55847709 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100221100211112 its reverse (211112001122001), we get a palindrome (311333101333113).

The spelling of 100221100211112 in words is "one hundred trillion, two hundred twenty-one billion, one hundred million, two hundred eleven thousand, one hundred twelve".