101101122111220 has 48 divisors (see below), whose sum is σ = 264701119713408. Its totient is φ = 31512038060160.

The previous prime is 101101122111193. The next prime is 101101122111229. The reversal of 101101122111220 is 22111221101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101122111194 and 101101122111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101122111229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32825038107 + ... + 32825041186.

It is an arithmetic number, because the mean of its divisors is an integer number (5514606660696).

Almost surely, 2^{101101122111220} is an apocalyptic number.

101101122111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101122111220 is an abundant number, since it is smaller than the sum of its proper divisors (163599997602188).

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

101101122111220 is a wasteful number, since it uses less digits than its factorization.

101101122111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65650079320 (or 65650079318 counting only the distinct ones).

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

Adding to 101101122111220 its reverse (22111221101101), we get a palindrome (123212343212321).

The spelling of 101101122111220 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty".