201011202100992 has 288 divisors, whose sum is σ = 545302872527616. Its totient is φ = 65724080128000.

The previous prime is 201011202100991. The next prime is 201011202101023. The reversal of 201011202100992 is 299001202110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201011202100991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29547431863 + ... + 29547438665.

It is an arithmetic number, because the mean of its divisors is an integer number (1893412751832).

Almost surely, 2^{201011202100992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201011202100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272651436263808).

201011202100992 is an abundant number, since it is smaller than the sum of its proper divisors (344291670426624).

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

201011202100992 is a wasteful number, since it uses less digits than its factorization.

201011202100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10407 (or 10393 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 201011202100992 in words is "two hundred one trillion, eleven billion, two hundred two million, one hundred thousand, nine hundred ninety-two".