2102712117000 has 128 divisors (see below), whose sum is σ = 7156867536000. Its totient is φ = 509748384000.

The previous prime is 2102712116983. The next prime is 2102712117017. The reversal of 2102712117000 is 7112172012.

It is an interprime number because it is at equal distance from previous prime (2102712116983) and next prime (2102712117017).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31826275 + ... + 31892274.

It is an arithmetic number, because the mean of its divisors is an integer number (55913027625).

Almost surely, 2^{2102712117000} is an apocalyptic number.

2102712117000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102712117000 is an abundant number, since it is smaller than the sum of its proper divisors (5054155419000).

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

2102712117000 is a wasteful number, since it uses less digits than its factorization.

2102712117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63718584 (or 63718570 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 24.

Adding to 2102712117000 its reverse (7112172012), we get a palindrome (2109824289012).

The spelling of 2102712117000 in words is "two trillion, one hundred two billion, seven hundred twelve million, one hundred seventeen thousand".