201097309138000 has 480 divisors, whose sum is σ = 573502119765120. Its totient is φ = 67587736320000.

The previous prime is 201097309137973. The next prime is 201097309138027. The reversal of 201097309138000 is 831903790102.

It is an interprime number because it is at equal distance from previous prime (201097309137973) and next prime (201097309138027).

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, 325313211 + ... + 325930789.

It is an arithmetic number, because the mean of its divisors is an integer number (1194796082844).

Almost surely, 2^{201097309138000} is an apocalyptic number.

201097309138000 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 201097309138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286751059882560).

201097309138000 is an abundant number, since it is smaller than the sum of its proper divisors (372404810627120).

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

201097309138000 is a wasteful number, since it uses less digits than its factorization.

201097309138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617692 (or 617657 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 201097309138000 in words is "two hundred one trillion, ninety-seven billion, three hundred nine million, one hundred thirty-eight thousand".