101212210200112 has 120 divisors (see below), whose sum is σ = 227506208670720. Its totient is φ = 43250506490880.

The previous prime is 101212210200107. The next prime is 101212210200137. The reversal of 101212210200112 is 211002012212101.

It is a super-2 number, since 2×101212210200112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43994689 + ... + 46238047.

It is an arithmetic number, because the mean of its divisors is an integer number (1895885072256).

Almost surely, 2^{101212210200112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212210200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113753104335360).

101212210200112 is an abundant number, since it is smaller than the sum of its proper divisors (126293998470608).

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

101212210200112 is a wasteful number, since it uses less digits than its factorization.

101212210200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244299 (or 2244276 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101212210200112 its reverse (211002012212101), we get a palindrome (312214222412213).

The spelling of 101212210200112 in words is "one hundred one trillion, two hundred twelve billion, two hundred ten million, two hundred thousand, one hundred twelve".