101010102321120 has 96 divisors (see below), whose sum is σ = 318253475463840. Its totient is φ = 26929961410560.

The previous prime is 101010102321109. The next prime is 101010102321187. The reversal of 101010102321120 is 21123201010101.

It is a tau number, because it is divible by the number of its divisors (96).

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 101010102321120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21560925 + ... + 25824284.

It is an arithmetic number, because the mean of its divisors is an integer number (3315140369415).

Almost surely, 2^{101010102321120} is an apocalyptic number.

101010102321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010102321120 is an abundant number, since it is smaller than the sum of its proper divisors (217243373142720).

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

101010102321120 is a wasteful number, since it uses less digits than its factorization.

101010102321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47389668 (or 47389660 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101010102321120 its reverse (21123201010101), we get a palindrome (122133303331221).

The spelling of 101010102321120 in words is "one hundred one trillion, ten billion, one hundred two million, three hundred twenty-one thousand, one hundred twenty".