101212201012212 has 36 divisors (see below), whose sum is σ = 255843644077476. Its totient is φ = 33737177280000.

The previous prime is 101212201012141. The next prime is 101212201012253. The reversal of 101212201012212 is 212210102212101.

101212201012212 is a `hidden beast` number, since 1 + 0 + 121 + 220 + 101 + 221 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34760292557796 + 66451908454416 = 5895786^2 + 8151804^2 .

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, 3727773 + ... + 14707844.

It is an arithmetic number, because the mean of its divisors is an integer number (7106767891041).

Almost surely, 2^{101212201012212} is an apocalyptic number.

101212201012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101212201012212 is an abundant number, since it is smaller than the sum of its proper divisors (154631443065264).

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

101212201012212 is a wasteful number, since it uses less digits than its factorization.

101212201012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18588128 (or 18588123 counting only the distinct ones).

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

Adding to 101212201012212 its reverse (212210102212101), we get a palindrome (313422303224313).

The spelling of 101212201012212 in words is "one hundred one trillion, two hundred twelve billion, two hundred one million, twelve thousand, two hundred twelve".