2110001000120 has 32 divisors (see below), whose sum is σ = 5112694732320. Its totient is φ = 779077292160.

The previous prime is 2110001000119. The next prime is 2110001000153. The reversal of 2110001000120 is 210001000112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2110001000098 and 2110001000107.

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 7 ways as a sum of consecutive naturals, for example, 2028846596 + ... + 2028847635.

It is an arithmetic number, because the mean of its divisors is an integer number (159771710385).

Almost surely, 2^{2110001000120} is an apocalyptic number.

2110001000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110001000120 is an abundant number, since it is smaller than the sum of its proper divisors (3002693732200).

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

2110001000120 is a wasteful number, since it uses less digits than its factorization.

2110001000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057694255 (or 4057694251 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2110001000120 its reverse (210001000112), we get a palindrome (2320002000232).

The spelling of 2110001000120 in words is "two trillion, one hundred ten billion, one million, one hundred twenty", and thus it is an aban number.