101222212000212 has 144 divisors (see below), whose sum is σ = 261632983772160. Its totient is φ = 32986791936000.

The previous prime is 101222212000157. The next prime is 101222212000237. The reversal of 101222212000212 is 212000212222101.

It is a happy number.

101222212000212 is a `hidden beast` number, since 10 + 1 + 22 + 221 + 200 + 0 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1704248788 + ... + 1704308180.

It is an arithmetic number, because the mean of its divisors is an integer number (1816895720640).

Almost surely, 2^{101222212000212} is an apocalyptic number.

101222212000212 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 101222212000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130816491886080).

101222212000212 is an abundant number, since it is smaller than the sum of its proper divisors (160410771771948).

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

101222212000212 is a wasteful number, since it uses less digits than its factorization.

101222212000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63854 (or 63849 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101222212000212 its reverse (212000212222101), we get a palindrome (313222424222313).

The spelling of 101222212000212 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twelve million, two hundred twelve", and thus it is an aban number.