101101010120120 has 64 divisors (see below), whose sum is σ = 249163747099200. Its totient is φ = 36749089269760.

The previous prime is 101101010120087. The next prime is 101101010120141. The reversal of 101101010120120 is 21021010101101.

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, 2563393316 + ... + 2563432755.

It is an arithmetic number, because the mean of its divisors is an integer number (3893183548425).

Almost surely, 2^{101101010120120} is an apocalyptic number.

101101010120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101010120120 is an abundant number, since it is smaller than the sum of its proper divisors (148062736979080).

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

101101010120120 is a wasteful number, since it uses less digits than its factorization.

101101010120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126826128 (or 5126826124 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101101010120120 its reverse (21021010101101), we get a palindrome (122122020221221).

The spelling of 101101010120120 in words is "one hundred one trillion, one hundred one billion, ten million, one hundred twenty thousand, one hundred twenty".