10211122102212 has 36 divisors (see below), whose sum is σ = 25909589946240. Its totient is φ = 3390765511152.

The previous prime is 10211122102211. The next prime is 10211122102241. The reversal of 10211122102212 is 21220122111201.

10211122102212 is a `hidden beast` number, since 10 + 211 + 1 + 221 + 0 + 221 + 2 = 666.

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 not an unprimeable number, because it can be changed into a prime (10211122102211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 539234412 + ... + 539253347.

It is an arithmetic number, because the mean of its divisors is an integer number (719710831840).

Almost surely, 2^{10211122102212} is an apocalyptic number.

10211122102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211122102212 is an abundant number, since it is smaller than the sum of its proper divisors (15698467844028).

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

10211122102212 is a wasteful number, since it uses less digits than its factorization.

10211122102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078488032 (or 1078488027 counting only the distinct ones).

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

Adding to 10211122102212 its reverse (21220122111201), we get a palindrome (31431244213413).

The spelling of 10211122102212 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, one hundred two thousand, two hundred twelve".