2135372363100 has 288 divisors, whose sum is σ = 7045624051200. Its totient is φ = 554626828800.

The previous prime is 2135372363087. The next prime is 2135372363141. The reversal of 2135372363100 is 13632735312.

2135372363100 is a `hidden beast` number, since 2 + 13 + 5 + 3 + 7 + 2 + 3 + 631 + 0 + 0 = 666.

It is a super-2 number, since 2×2135372363100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16033785 + ... + 16166415.

It is an arithmetic number, because the mean of its divisors is an integer number (24463972400).

Almost surely, 2^{2135372363100} is an apocalyptic number.

2135372363100 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 2135372363100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522812025600).

2135372363100 is an abundant number, since it is smaller than the sum of its proper divisors (4910251688100).

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

2135372363100 is a wasteful number, since it uses less digits than its factorization.

2135372363100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132810 (or 132797 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 2135372363100 in words is "two trillion, one hundred thirty-five billion, three hundred seventy-two million, three hundred sixty-three thousand, one hundred".