101121122000120 has 32 divisors (see below), whose sum is σ = 227536923348720. Its totient is φ = 40445889004800.

The previous prime is 101121122000011. The next prime is 101121122000149. The reversal of 101121122000120 is 21000221121101.

It is a junction number, because it is equal to n+sod(n) for n = 101121122000095 and 101121122000104.

It is a congruent number.

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, 79353581 + ... + 80617820.

Almost surely, 2^{101121122000120} is an apocalyptic number.

101121122000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121122000120 is an abundant number, since it is smaller than the sum of its proper divisors (126415801348600).

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

101121122000120 is a wasteful number, since it uses less digits than its factorization.

101121122000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159987215 (or 159987211 counting only the distinct ones).

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

Adding to 101121122000120 its reverse (21000221121101), we get a palindrome (122121343121221).

The spelling of 101121122000120 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty", and thus it is an aban number.