2114101000 has 64 divisors (see below), whose sum is σ = 5396751360. Its totient is φ = 768760000.

The previous prime is 2114100997. The next prime is 2114101007. The reversal of 2114101000 is 1014112.

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 (2114101007) 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, 85096 + ... + 107095.

It is an arithmetic number, because the mean of its divisors is an integer number (84324240).

Almost surely, 2^2114101000 is an apocalyptic number.

2114101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114101000 is an abundant number, since it is smaller than the sum of its proper divisors (3282650360).

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

2114101000 is a wasteful number, since it uses less digits than its factorization.

2114101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192223 (or 192209 counting only the distinct ones).

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

The square root of 2114101000 is about 45979.3540624485. The cubic root of 2114101000 is about 1283.4390347899.

Adding to 2114101000 its reverse (1014112), we get a palindrome (2115115112).

The spelling of 2114101000 in words is "two billion, one hundred fourteen million, one hundred one thousand".