101212102211112 has 24 divisors (see below), whose sum is σ = 274116110155290. Its totient is φ = 33737367403680.

The previous prime is 101212102211111. The next prime is 101212102211141. The reversal of 101212102211112 is 211112201212101.

It is a happy number.

101212102211112 is a `hidden beast` number, since 1 + 0 + 121 + 210 + 221 + 1 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99981080894916 + 1231021316196 = 9999054^2 + 1109514^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101212102211111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 702861820839 + ... + 702861820982.

Almost surely, 2^{101212102211112} is an apocalyptic number.

101212102211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101212102211112 is an abundant number, since it is smaller than the sum of its proper divisors (172904007944178).

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

101212102211112 is a wasteful number, since it uses less digits than its factorization.

101212102211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405723641833 (or 1405723641826 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101212102211112 its reverse (211112201212101), we get a palindrome (312324303423213).

The spelling of 101212102211112 in words is "one hundred one trillion, two hundred twelve billion, one hundred two million, two hundred eleven thousand, one hundred twelve".