101200111122 has 64 divisors (see below), whose sum is σ = 232550922240. Its totient is φ = 29036462400.

The previous prime is 101200111097. The next prime is 101200111147. The reversal of 101200111122 is 221111002101.

It is an interprime number because it is at equal distance from previous prime (101200111097) and next prime (101200111147).

It is a super-2 number, since 2×101200111122² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101200111098 and 101200111107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2324668 + ... + 2367800.

It is an arithmetic number, because the mean of its divisors is an integer number (3633608160).

Almost surely, 2^101200111122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101200111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116275461120).

101200111122 is an abundant number, since it is smaller than the sum of its proper divisors (131350811118).

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

101200111122 is a wasteful number, since it uses less digits than its factorization.

101200111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45039.

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

Adding to 101200111122 its reverse (221111002101), we get a palindrome (322311113223).

The spelling of 101200111122 in words is "one hundred one billion, two hundred million, one hundred eleven thousand, one hundred twenty-two".