101122220200212 has 36 divisors (see below), whose sum is σ = 255646086439380. Its totient is φ = 33703241628672.

The previous prime is 101122220200139. The next prime is 101122220200217. The reversal of 101122220200212 is 212002022221101.

It is a happy number.

101122220200212 is a `hidden beast` number, since 1 + 0 + 11 + 22 + 220 + 200 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49220944503696 + 51901275696516 = 7015764^2 + 7204254^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×101122220200212² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122220200217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173250637 + ... + 173833332.

Almost surely, 2^{101122220200212} is an apocalyptic number.

101122220200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122220200212 is an abundant number, since it is smaller than the sum of its proper divisors (154523866239168).

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

101122220200212 is a wasteful number, since it uses less digits than its factorization.

101122220200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347092072 (or 347092067 counting only the distinct ones).

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

Adding to 101122220200212 its reverse (212002022221101), we get a palindrome (313124242421313).

The spelling of 101122220200212 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty million, two hundred thousand, two hundred twelve".