2137002563100 has 144 divisors (see below), whose sum is σ = 6244670315520. Its totient is φ = 564191865600.

The previous prime is 2137002563027. The next prime is 2137002563117. The reversal of 2137002563100 is 13652007312.

It is a super-2 number, since 2×2137002563100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186290365 + ... + 186301835.

It is an arithmetic number, because the mean of its divisors is an integer number (43365766080).

Almost surely, 2^{2137002563100} is an apocalyptic number.

2137002563100 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 2137002563100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122335157760).

2137002563100 is an abundant number, since it is smaller than the sum of its proper divisors (4107667752420).

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

2137002563100 is a wasteful number, since it uses less digits than its factorization.

2137002563100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17620 (or 17613 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 2137002563100 in words is "two trillion, one hundred thirty-seven billion, two million, five hundred sixty-three thousand, one hundred".