101212101000120 has 256 divisors, whose sum is σ = 357559994649600. Its totient is φ = 22660180336640.

The previous prime is 101212101000107. The next prime is 101212101000151. The reversal of 101212101000120 is 21000101212101.

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 = 101212101000096 and 101212101000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56597697 + ... + 58358576.

It is an arithmetic number, because the mean of its divisors is an integer number (1396718729100).

Almost surely, 2^{101212101000120} is an apocalyptic number.

101212101000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212101000120 is an abundant number, since it is smaller than the sum of its proper divisors (256347893649480).

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

101212101000120 is a wasteful number, since it uses less digits than its factorization.

101212101000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114956350 (or 114956346 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101212101000120 its reverse (21000101212101), we get a palindrome (122212202212221).

The spelling of 101212101000120 in words is "one hundred one trillion, two hundred twelve billion, one hundred one million, one hundred twenty", and thus it is an aban number.