101121201220120 has 64 divisors (see below), whose sum is σ = 228281060103840. Its totient is φ = 40313874585600.

The previous prime is 101121201220087. The next prime is 101121201220199. The reversal of 101121201220120 is 21022102121101.

It is a junction number, because it is equal to n+sod(n) for n = 101121201220094 and 101121201220103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11851360 + ... + 18512080.

Almost surely, 2^{101121201220120} is an apocalyptic number.

101121201220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121201220120 is an abundant number, since it is smaller than the sum of its proper divisors (127159858883720).

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

101121201220120 is a wasteful number, since it uses less digits than its factorization.

101121201220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6661996 (or 6661992 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101121201220120 its reverse (21022102121101), we get a palindrome (122143303341221).

The spelling of 101121201220120 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, two hundred twenty thousand, one hundred twenty".