101100122112 has 208 divisors, whose sum is σ = 296244224640. Its totient is φ = 30410342400.

The previous prime is 101100122107. The next prime is 101100122113. The reversal of 101100122112 is 211221001101.

It is a super-2 number, since 2×101100122112² (a number of 23 digits) contains 22 as substring.

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 (101100122113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18785662 + ... + 18791042.

It is an arithmetic number, because the mean of its divisors is an integer number (1424251080).

Almost surely, 2^101100122112 is an apocalyptic number.

101100122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148122112320).

101100122112 is an abundant number, since it is smaller than the sum of its proper divisors (195144102528).

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

101100122112 is a wasteful number, since it uses less digits than its factorization.

101100122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558 (or 5536 counting only the distinct ones).

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

Adding to 101100122112 its reverse (211221001101), we get a palindrome (312321123213).

The spelling of 101100122112 in words is "one hundred one billion, one hundred million, one hundred twenty-two thousand, one hundred twelve".