2120111101000 has 64 divisors (see below), whose sum is σ = 4988469573360. Its totient is φ = 843359040000.

The previous prime is 2120111100977. The next prime is 2120111101021. The reversal of 2120111101000 is 1011110212.

It can be written as a sum of positive squares in 8 ways, for example, as 47680216164 + 2072430884836 = 218358^2 + 1439594^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5675661 + ... + 6037660.

Almost surely, 2^{2120111101000} is an apocalyptic number.

2120111101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120111101000 is an abundant number, since it is smaller than the sum of its proper divisors (2868358472360).

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

2120111101000 is a wasteful number, since it uses less digits than its factorization.

2120111101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11713523 (or 11713509 counting only the distinct ones).

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

Adding to 2120111101000 its reverse (1011110212), we get a palindrome (2121122211212).

The spelling of 2120111101000 in words is "two trillion, one hundred twenty billion, one hundred eleven million, one hundred one thousand".