2110011001000 has 288 divisors, whose sum is σ = 5934920495400. Its totient is φ = 700080192000.

The previous prime is 2110011000949. The next prime is 2110011001051. The reversal of 2110011001000 is 1001100112.

It is an interprime number because it is at equal distance from previous prime (2110011000949) and next prime (2110011001051).

It can be written as a sum of positive squares in 4 ways, for example, as 829859053156 + 1280151947844 = 910966^2 + 1131438^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47066596 + ... + 47111404.

Almost surely, 2^{2110011001000} is an apocalyptic number.

2110011001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110011001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967460247700).

2110011001000 is an abundant number, since it is smaller than the sum of its proper divisors (3824909494400).

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

2110011001000 is a wasteful number, since it uses less digits than its factorization.

2110011001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44906 (or 44854 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 2110011001000 its reverse (1001100112), we get a palindrome (2111012101112).

The spelling of 2110011001000 in words is "two trillion, one hundred ten billion, eleven million, one thousand".