2110100122000 has 80 divisors (see below), whose sum is σ = 5494700785392. Its totient is φ = 779113881600.

The previous prime is 2110100121931. The next prime is 2110100122003. The reversal of 2110100122000 is 2210010112.

It can be written as a sum of positive squares in 8 ways, for example, as 763869008016 + 1346231113984 = 873996^2 + 1160272^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (2110100122003) 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, 40552849 + ... + 40604848.

Almost surely, 2^{2110100122000} is an apocalyptic number.

2110100122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110100122000 is an abundant number, since it is smaller than the sum of its proper divisors (3384600663392).

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

2110100122000 is a wasteful number, since it uses less digits than its factorization.

2110100122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81157733 (or 81157717 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2110100122000 its reverse (2210010112), we get a palindrome (2112310132112).

The spelling of 2110100122000 in words is "two trillion, one hundred ten billion, one hundred million, one hundred twenty-two thousand".