101122101120 has 128 divisors (see below), whose sum is σ = 331038462240. Its totient is φ = 26237067264.

The previous prime is 101122101089. The next prime is 101122101121. The reversal of 101122101120 is 21101221101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101122101096 and 101122101105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122101121) 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, 640687 + ... + 782766.

Almost surely, 2^101122101120 is an apocalyptic number.

101122101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122101120 is an abundant number, since it is smaller than the sum of its proper divisors (229916361120).

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

101122101120 is a wasteful number, since it uses less digits than its factorization.

101122101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423512 (or 1423500 counting only the distinct ones).

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

Adding to 101122101120 its reverse (21101221101), we get a palindrome (122223322221).

It can be divided in two parts, 101 and 122101120, that added together give a palindrome (122101221).

The spelling of 101122101120 in words is "one hundred one billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".