101201220121212 has 72 divisors (see below), whose sum is σ = 255968247815280. Its totient is φ = 33713431614720.

The previous prime is 101201220121159. The next prime is 101201220121217. The reversal of 101201220121212 is 212121022102101.

101201220121212 is a `hidden beast` number, since 10 + 1 + 201 + 220 + 1 + 21 + 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 not an unprimeable number, because it can be changed into a prime (101201220121217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402647662 + ... + 402898922.

It is an arithmetic number, because the mean of its divisors is an integer number (3555114552990).

Almost surely, 2^{101201220121212} is an apocalyptic number.

101201220121212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101201220121212 is an abundant number, since it is smaller than the sum of its proper divisors (154767027694068).

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

101201220121212 is a wasteful number, since it uses less digits than its factorization.

101201220121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257963 (or 257958 counting only the distinct ones).

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

Adding to 101201220121212 its reverse (212121022102101), we get a palindrome (313322242223313).

The spelling of 101201220121212 in words is "one hundred one trillion, two hundred one billion, two hundred twenty million, one hundred twenty-one thousand, two hundred twelve".