201932663100 has 288 divisors, whose sum is σ = 703688294400. Its totient is φ = 43675718400.

The previous prime is 201932663089. The next prime is 201932663129. The reversal of 201932663100 is 1366239102.

It is a super-2 number, since 2×201932663100² (a number of 23 digits) contains 22 as substring.

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, 41453665 + ... + 41458535.

Almost surely, 2^201932663100 is an apocalyptic number.

201932663100 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 201932663100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351844147200).

201932663100 is an abundant number, since it is smaller than the sum of its proper divisors (501755631300).

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

201932663100 is a wasteful number, since it uses less digits than its factorization.

201932663100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 201932663100 in words is "two hundred one billion, nine hundred thirty-two million, six hundred sixty-three thousand, one hundred".