101011122122112 has 192 divisors, whose sum is σ = 291011516874000. Its totient is φ = 33630833553408.

The previous prime is 101011122122093. The next prime is 101011122122221. The reversal of 101011122122112 is 211221221110101.

It is a happy number.

101011122122112 is a `hidden beast` number, since 101 + 0 + 111 + 221 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

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, 6420326598 + ... + 6420342330.

Almost surely, 2^{101011122122112} is an apocalyptic number.

101011122122112 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 101011122122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145505758437000).

101011122122112 is an abundant number, since it is smaller than the sum of its proper divisors (190000394751888).

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

101011122122112 is a wasteful number, since it uses less digits than its factorization.

101011122122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21945 (or 21930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101011122122112 its reverse (211221221110101), we get a palindrome (312232343232213).

The spelling of 101011122122112 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".