102111001000120 has 64 divisors (see below), whose sum is σ = 265278064524480. Its totient is φ = 34648563511296.

The previous prime is 102111001000111. The next prime is 102111001000121. The reversal of 102111001000120 is 21000100111201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102111001000097 and 102111001000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111001000121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1879777719 + ... + 1879832038.

It is an arithmetic number, because the mean of its divisors is an integer number (4144969758195).

Almost surely, 2^{102111001000120} is an apocalyptic number.

102111001000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111001000120 is an abundant number, since it is smaller than the sum of its proper divisors (163167063524360).

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

102111001000120 is a wasteful number, since it uses less digits than its factorization.

102111001000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759609872 (or 3759609868 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102111001000120 its reverse (21000100111201), we get a palindrome (123111101111321).

The spelling of 102111001000120 in words is "one hundred two trillion, one hundred eleven billion, one million, one hundred twenty", and thus it is an aban number.