101220012000120 has 128 divisors (see below), whose sum is σ = 327026956515840. Its totient is φ = 24915050979840.

The previous prime is 101220012000089. The next prime is 101220012000157. The reversal of 101220012000120 is 21000210022101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101220012000096 and 101220012000105.

It is a congruent number.

It is an unprimeable number.

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, 60967815 + ... + 62606025.

It is an arithmetic number, because the mean of its divisors is an integer number (2554898097780).

Almost surely, 2^{101220012000120} is an apocalyptic number.

101220012000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220012000120 is an abundant number, since it is smaller than the sum of its proper divisors (225806944515720).

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

101220012000120 is a wasteful number, since it uses less digits than its factorization.

101220012000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677845 (or 1677841 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101220012000120 its reverse (21000210022101), we get a palindrome (122220222022221).

It can be divided in two parts, 10122001 and 2000120, that added together give a palindrome (12122121).

The spelling of 101220012000120 in words is "one hundred one trillion, two hundred twenty billion, twelve million, one hundred twenty", and thus it is an aban number.