101110122211212 has 96 divisors (see below), whose sum is σ = 263486094144000. Its totient is φ = 33530005080000.

The previous prime is 101110122211207. The next prime is 101110122211253. The reversal of 101110122211212 is 212112221011101.

It is a happy number.

101110122211212 is a `hidden beast` number, since 10 + 1 + 110 + 122 + 211 + 212 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182426787 + ... + 182980197.

It is an arithmetic number, because the mean of its divisors is an integer number (2744646814000).

Almost surely, 2^{101110122211212} is an apocalyptic number.

101110122211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110122211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131743047072000).

101110122211212 is an abundant number, since it is smaller than the sum of its proper divisors (162375971932788).

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

101110122211212 is a wasteful number, since it uses less digits than its factorization.

101110122211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562124 (or 562116 counting only the distinct ones).

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

Adding to 101110122211212 its reverse (212112221011101), we get a palindrome (313222343222313).

The spelling of 101110122211212 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twelve".