101221103123120 has 40 divisors (see below), whose sum is σ = 235402209824064. Its totient is φ = 40477577582592.

The previous prime is 101221103123117. The next prime is 101221103123131. The reversal of 101221103123120 is 21321301122101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101221103123120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101221103123092 and 101221103123101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169444769 + ... + 170041088.

Almost surely, 2^{101221103123120} is an apocalyptic number.

101221103123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221103123120 is an abundant number, since it is smaller than the sum of its proper divisors (134181106700944).

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

101221103123120 is a wasteful number, since it uses less digits than its factorization.

101221103123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339489597 (or 339489591 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101221103123120 its reverse (21321301122101), we get a palindrome (122542404245221).

The spelling of 101221103123120 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred three million, one hundred twenty-three thousand, one hundred twenty".