10212112102122 has 48 divisors (see below), whose sum is σ = 25287312410880. Its totient is φ = 2917725813216.

The previous prime is 10212112102111. The next prime is 10212112102133. The reversal of 10212112102122 is 22120121121201.

10212112102122 is a `hidden beast` number, since 10 + 21 + 211 + 210 + 212 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10212112102111) and next prime (10212112102133).

It is a super-2 number, since 2×10212112102122² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10212112102095 and 10212112102104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35022543 + ... + 35312925.

It is an arithmetic number, because the mean of its divisors is an integer number (526819008560).

Almost surely, 2^{10212112102122} is an apocalyptic number.

10212112102122 is an abundant number, since it is smaller than the sum of its proper divisors (15075200308758).

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

10212112102122 is a wasteful number, since it uses less digits than its factorization.

10212112102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569507 (or 569504 counting only the distinct ones).

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

Adding to 10212112102122 its reverse (22120121121201), we get a palindrome (32332233223323).

The spelling of 10212112102122 in words is "ten trillion, two hundred twelve billion, one hundred twelve million, one hundred two thousand, one hundred twenty-two".