101222122121112 has 32 divisors (see below), whose sum is σ = 253055560376880. Its totient is φ = 33740673363840.

The previous prime is 101222122121111. The next prime is 101222122121129. The reversal of 101222122121112 is 211121221222101.

101222122121112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101222122121112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222122121111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36518062 + ... + 39192002.

Almost surely, 2^{101222122121112} is an apocalyptic number.

101222122121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101222122121112 is an abundant number, since it is smaller than the sum of its proper divisors (151833438255768).

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

101222122121112 is a wasteful number, since it uses less digits than its factorization.

101222122121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251243 (or 4251239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 101222122121112 its reverse (211121221222101), we get a palindrome (312343343343213).

The spelling of 101222122121112 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twelve".