10111022112 has 48 divisors (see below), whose sum is σ = 26579472192. Its totient is φ = 3365510400.

The previous prime is 10111022087. The next prime is 10111022147. The reversal of 10111022112 is 21122011101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×10111022112³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7828 + ... + 142419.

It is an arithmetic number, because the mean of its divisors is an integer number (553739004).

Almost surely, 2^10111022112 is an apocalyptic number.

10111022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10111022112 is an abundant number, since it is smaller than the sum of its proper divisors (16468450080).

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

10111022112 is a wasteful number, since it uses less digits than its factorization.

10111022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150961 (or 150953 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111022112 its reverse (21122011101), we get a palindrome (31233033213).

The spelling of 10111022112 in words is "ten billion, one hundred eleven million, twenty-two thousand, one hundred twelve".