106100106000120 has 128 divisors (see below), whose sum is σ = 365075633664000. Its totient is φ = 27380672507520.

The previous prime is 106100106000071. The next prime is 106100106000139. The reversal of 106100106000120 is 21000601001601.

106100106000120 is a `hidden beast` number, since 1 + 0 + 61 + 0 + 0 + 1 + 0 + 600 + 0 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×106100106000120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106100106000093 and 106100106000102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1584496180 + ... + 1584563139.

It is an arithmetic number, because the mean of its divisors is an integer number (2852153388000).

Almost surely, 2^{106100106000120} is an apocalyptic number.

106100106000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106100106000120 is an abundant number, since it is smaller than the sum of its proper divisors (258975527663880).

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

106100106000120 is a wasteful number, since it uses less digits than its factorization.

106100106000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169059370 (or 3169059360 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 106100106000120 its reverse (21000601001601), we get a palindrome (127100707001721).

The spelling of 106100106000120 in words is "one hundred six trillion, one hundred billion, one hundred six million, one hundred twenty", and thus it is an aban number.