2145355235100 has 1080 divisors, whose sum is σ = 8855181232128. Its totient is φ = 444277612800.

The previous prime is 2145355235057. The next prime is 2145355235123. The reversal of 2145355235100 is 15325535412.

2145355235100 is a `hidden beast` number, since 2 + 1 + 4 + 53 + 552 + 3 + 51 + 0 + 0 = 666.

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 359 ways as a sum of consecutive naturals, for example, 1672139059 + ... + 1672140341.

Almost surely, 2^{2145355235100} is an apocalyptic number.

2145355235100 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 2145355235100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427590616064).

2145355235100 is an abundant number, since it is smaller than the sum of its proper divisors (6709825997028).

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

2145355235100 is a wasteful number, since it uses less digits than its factorization.

2145355235100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 2145355235100 in words is "two trillion, one hundred forty-five billion, three hundred fifty-five million, two hundred thirty-five thousand, one hundred".