101122010011220 has 96 divisors (see below), whose sum is σ = 234976476510720. Its totient is φ = 36246945346560.

The previous prime is 101122010011201. The next prime is 101122010011223. The reversal of 101122010011220 is 22110010221101.

It is a junction number, because it is equal to n+sod(n) for n = 101122010011195 and 101122010011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122010011223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5908184 + ... + 15399696.

It is an arithmetic number, because the mean of its divisors is an integer number (2447671630320).

Almost surely, 2^{101122010011220} is an apocalyptic number.

101122010011220 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 101122010011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117488238255360).

101122010011220 is an abundant number, since it is smaller than the sum of its proper divisors (133854466499500).

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

101122010011220 is a wasteful number, since it uses less digits than its factorization.

101122010011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9492225 (or 9492223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101122010011220 its reverse (22110010221101), we get a palindrome (123232020232321).

The spelling of 101122010011220 in words is "one hundred one trillion, one hundred twenty-two billion, ten million, eleven thousand, two hundred twenty".