101120212102212 has 18 divisors (see below), whose sum is σ = 255609425036238. Its totient is φ = 33706737367392.

The previous prime is 101120212102211. The next prime is 101120212102267. The reversal of 101120212102212 is 212201212021101.

101120212102212 is a `hidden beast` number, since 101 + 120 + 21 + 210 + 2 + 212 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98931191245056 + 2189020857156 = 9946416^2 + 1479534^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is not an unprimeable number, because it can be changed into a prime (101120212102211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1404447390273 + ... + 1404447390344.

Almost surely, 2^{101120212102212} is an apocalyptic number.

101120212102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101120212102212 is an abundant number, since it is smaller than the sum of its proper divisors (154489212934026).

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

101120212102212 is a wasteful number, since it uses less digits than its factorization.

101120212102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808894780627 (or 2808894780622 counting only the distinct ones).

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

Adding to 101120212102212 its reverse (212201212021101), we get a palindrome (313321424123313).

The spelling of 101120212102212 in words is "one hundred one trillion, one hundred twenty billion, two hundred twelve million, one hundred two thousand, two hundred twelve".