1000357136100 has 720 divisors, whose sum is σ = 3761497998720. Its totient is φ = 225255168000.

The previous prime is 1000357136087. The next prime is 1000357136137. The reversal of 1000357136100 is 16317530001.

1000357136100 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 35 + 7 + 13 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1758096616 + ... + 1758097184.

It is an arithmetic number, because the mean of its divisors is an integer number (5224302776).

Almost surely, 2^{1000357136100} is an apocalyptic number.

1000357136100 is a gapful number since it is divisible by the number (10) 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 1000357136100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880748999360).

1000357136100 is an abundant number, since it is smaller than the sum of its proper divisors (2761140862620).

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

1000357136100 is a wasteful number, since it uses less digits than its factorization.

1000357136100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 1000357136100 in words is "one trillion, three hundred fifty-seven million, one hundred thirty-six thousand, one hundred".