101021303100120 has 128 divisors (see below), whose sum is σ = 343554229267200. Its totient is φ = 23558004278784.

The previous prime is 101021303100103. The next prime is 101021303100131. The reversal of 101021303100120 is 21001303120101.

It is a happy number.

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 101021303100120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1704108402 + ... + 1704167681.

It is an arithmetic number, because the mean of its divisors is an integer number (2684017416150).

Almost surely, 2^{101021303100120} is an apocalyptic number.

101021303100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021303100120 is an abundant number, since it is smaller than the sum of its proper divisors (242532926167080).

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

101021303100120 is a wasteful number, since it uses less digits than its factorization.

101021303100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408276129 (or 3408276125 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101021303100120 its reverse (21001303120101), we get a palindrome (122022606220221).

The spelling of 101021303100120 in words is "one hundred one trillion, twenty-one billion, three hundred three million, one hundred thousand, one hundred twenty".