100065025960200 has 384 divisors, whose sum is σ = 393922096300800. Its totient is φ = 22871115970560.

The previous prime is 100065025960181. The next prime is 100065025960217. The reversal of 100065025960200 is 2069520560001.

100065025960200 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 65 + 0 + 2 + 596 + 0 + 2 + 0 + 0 = 666.

It is a super-3 number, since 3×100065025960200³ (a number of 43 digits) contains 333 as substring.

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

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, 1859468494 + ... + 1859522306.

It is an arithmetic number, because the mean of its divisors is an integer number (1025838792450).

Almost surely, 2^{100065025960200} is an apocalyptic number.

100065025960200 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 100065025960200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196961048150400).

100065025960200 is an abundant number, since it is smaller than the sum of its proper divisors (293857070340600).

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

100065025960200 is a wasteful number, since it uses less digits than its factorization.

100065025960200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103038 (or 103023 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 100065025960200 in words is "one hundred trillion, sixty-five billion, twenty-five million, nine hundred sixty thousand, two hundred".