101220021112212 has 288 divisors, whose sum is σ = 269998338355200. Its totient is φ = 31938625555200.

The previous prime is 101220021112187. The next prime is 101220021112229. The reversal of 101220021112212 is 212211120022101.

101220021112212 is a `hidden beast` number, since 10 + 1 + 220 + 0 + 211 + 1 + 221 + 2 = 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 95 ways as a sum of consecutive naturals, for example, 25185372739 + ... + 25185376757.

It is an arithmetic number, because the mean of its divisors is an integer number (937494230400).

Almost surely, 2^{101220021112212} is an apocalyptic number.

101220021112212 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 101220021112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134999169177600).

101220021112212 is an abundant number, since it is smaller than the sum of its proper divisors (168778317242988).

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

101220021112212 is a wasteful number, since it uses less digits than its factorization.

101220021112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7587 (or 7582 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101220021112212 its reverse (212211120022101), we get a palindrome (313431141134313).

The spelling of 101220021112212 in words is "one hundred one trillion, two hundred twenty billion, twenty-one million, one hundred twelve thousand, two hundred twelve".