101100021110112 has 192 divisors, whose sum is σ = 293585179152384. Its totient is φ = 30351849707520.

The previous prime is 101100021110111. The next prime is 101100021110113. The reversal of 101100021110112 is 211011120001101.

It is an interprime number because it is at equal distance from previous prime (101100021110111) and next prime (101100021110113).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100021110111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17427343 + ... + 22492494.

It is an arithmetic number, because the mean of its divisors is an integer number (1529089474752).

Almost surely, 2^{101100021110112} is an apocalyptic number.

101100021110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101100021110112 is an abundant number, since it is smaller than the sum of its proper divisors (192485158042272).

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

101100021110112 is a wasteful number, since it uses less digits than its factorization.

101100021110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39919941 (or 39919933 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101100021110112 its reverse (211011120001101), we get a palindrome (312111141111213).

The spelling of 101100021110112 in words is "one hundred one trillion, one hundred billion, twenty-one million, one hundred ten thousand, one hundred twelve".