101120210212212 has 36 divisors (see below), whose sum is σ = 255609807993540. Its totient is φ = 33706685607552.

The previous prime is 101120210212141. The next prime is 101120210212243. The reversal of 101120210212212 is 212212012021101.

101120210212212 is a `hidden beast` number, since 1 + 0 + 11 + 20 + 210 + 212 + 212 = 666.

101120210212212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 17357189110416 + 83763021101796 = 4166196^2 + 9152214^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 27624718 + ... + 31070330.

It is an arithmetic number, because the mean of its divisors is an integer number (7100272444265).

Almost surely, 2^{101120210212212} is an apocalyptic number.

101120210212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101120210212212 is an abundant number, since it is smaller than the sum of its proper divisors (154489597781328).

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

101120210212212 is a wasteful number, since it uses less digits than its factorization.

101120210212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260832 (or 4260827 counting only the distinct ones).

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

Adding to 101120210212212 its reverse (212212012021101), we get a palindrome (313332222233313).

The spelling of 101120210212212 in words is "one hundred one trillion, one hundred twenty billion, two hundred ten million, two hundred twelve thousand, two hundred twelve".