10102122212112 has 120 divisors (see below), whose sum is σ = 32344878086976. Its totient is φ = 2883272502528.

The previous prime is 10102122212111. The next prime is 10102122212129. The reversal of 10102122212112 is 21121222120101.

10102122212112 is a `hidden beast` number, since 10 + 10 + 212 + 221 + 211 + 2 = 666.

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 (10102122212111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4336843 + ... + 6245994.

Almost surely, 2^{10102122212112} is an apocalyptic number.

10102122212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102122212112 is an abundant number, since it is smaller than the sum of its proper divisors (22242755874864).

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

10102122212112 is a wasteful number, since it uses less digits than its factorization.

10102122212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10583805 (or 10583796 counting only the distinct ones).

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

Adding to 10102122212112 its reverse (21121222120101), we get a palindrome (31223344332213).

The spelling of 10102122212112 in words is "ten trillion, one hundred two billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twelve".