201696102000 has 960 divisors, whose sum is σ = 780866985600. Its totient is φ = 49671014400.

The previous prime is 201696101983. The next prime is 201696102017. The reversal of 201696102000 is 201696102.

201696102000 is a `hidden beast` number, since 20 + 1 + 6 + 9 + 610 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (201696101983) and next prime (201696102017).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3418577971 + ... + 3418578029.

It is an arithmetic number, because the mean of its divisors is an integer number (813403110).

Almost surely, 2^201696102000 is an apocalyptic number.

201696102000 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 201696102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390433492800).

201696102000 is an abundant number, since it is smaller than the sum of its proper divisors (579170883600).

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

201696102000 is a wasteful number, since it uses less digits than its factorization.

201696102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 201696102000 its reverse (201696102), we get a palindrome (201897798102).

201696102000 divided by its reverse (201696102) gives a cube (1000 = 10³).

The spelling of 201696102000 in words is "two hundred one billion, six hundred ninety-six million, one hundred two thousand".