101221000120 has 64 divisors (see below), whose sum is σ = 230318562240. Its totient is φ = 40032384000.

The previous prime is 101221000117. The next prime is 101221000163. The reversal of 101221000120 is 21000122101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101221000097 and 101221000106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2984860 + ... + 3018580.

It is an arithmetic number, because the mean of its divisors is an integer number (3598727535).

Almost surely, 2^101221000120 is an apocalyptic number.

101221000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221000120 is an abundant number, since it is smaller than the sum of its proper divisors (129097562120).

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

101221000120 is a wasteful number, since it uses less digits than its factorization.

101221000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34576 (or 34572 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101221000120 its reverse (21000122101), we get a palindrome (122221122221).

The spelling of 101221000120 in words is "one hundred one billion, two hundred twenty-one million, one hundred twenty", and thus it is an aban number.