101122020122112 has 240 divisors, whose sum is σ = 321193868334768. Its totient is φ = 30371857367040.

The previous prime is 101122020122111. The next prime is 101122020122147. The reversal of 101122020122112 is 211221020221101.

101122020122112 is a `hidden beast` number, since 1 + 0 + 11 + 220 + 201 + 221 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122020122111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3099643 + ... + 14555130.

Almost surely, 2^{101122020122112} is an apocalyptic number.

101122020122112 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 101122020122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160596934167384).

101122020122112 is an abundant number, since it is smaller than the sum of its proper divisors (220071848212656).

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

101122020122112 is a wasteful number, since it uses less digits than its factorization.

101122020122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17654921 (or 17654902 counting only the distinct ones).

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

Adding to 101122020122112 its reverse (211221020221101), we get a palindrome (312343040343213).

The spelling of 101122020122112 in words is "one hundred one trillion, one hundred twenty-two billion, twenty million, one hundred twenty-two thousand, one hundred twelve".