10101120000120 has 128 divisors (see below), whose sum is σ = 35134330521600. Its totient is φ = 2576517558912.

The previous prime is 10101120000073. The next prime is 10101120000121. The reversal of 10101120000120 is 2100002110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101120000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203298832 + ... + 203348511.

It is an arithmetic number, because the mean of its divisors is an integer number (274486957200).

Almost surely, 2^{10101120000120} is an apocalyptic number.

10101120000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101120000120 is an abundant number, since it is smaller than the sum of its proper divisors (25033210521480).

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

10101120000120 is a wasteful number, since it uses less digits than its factorization.

10101120000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406647386 (or 406647376 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101120000120 its reverse (2100002110101), we get a palindrome (12201122110221).

The spelling of 10101120000120 in words is "ten trillion, one hundred one billion, one hundred twenty million, one hundred twenty", and thus it is an aban number.