101122110211120 has 160 divisors (see below), whose sum is σ = 246882408943104. Its totient is φ = 38445626419200.

The previous prime is 101122110211037. The next prime is 101122110211121. The reversal of 101122110211120 is 21112011221101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101122110211094 and 101122110211103.

It is not an unprimeable number, because it can be changed into a prime (101122110211121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1763800855 + ... + 1763858185.

Almost surely, 2^{101122110211120} is an apocalyptic number.

101122110211120 is a gapful number since it is divisible by the number (10) 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 101122110211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123441204471552).

101122110211120 is an abundant number, since it is smaller than the sum of its proper divisors (145760298731984).

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

101122110211120 is a wasteful number, since it uses less digits than its factorization.

101122110211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63411 (or 63405 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101122110211120 its reverse (21112011221101), we get a palindrome (122234121432221).

The spelling of 101122110211120 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".