101021202120120 has 128 divisors (see below), whose sum is σ = 316746180475200. Its totient is φ = 25741911638016.

The previous prime is 101021202120089. The next prime is 101021202120121. The reversal of 101021202120120 is 21021202120101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101021202120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021202120121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149296879 + ... + 149971998.

Almost surely, 2^{101021202120120} is an apocalyptic number.

101021202120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021202120120 is an abundant number, since it is smaller than the sum of its proper divisors (215724978355080).

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

101021202120120 is a wasteful number, since it uses less digits than its factorization.

101021202120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299269017 (or 299269013 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101021202120120 its reverse (21021202120101), we get a palindrome (122042404240221).

The spelling of 101021202120120 in words is "one hundred one trillion, twenty-one billion, two hundred two million, one hundred twenty thousand, one hundred twenty".