201102100201992 has 128 divisors (see below), whose sum is σ = 549286070860800. Its totient is φ = 60848288928000.

The previous prime is 201102100201957. The next prime is 201102100201993. The reversal of 201102100201992 is 299102001201102.

201102100201992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201102100201993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2854947109 + ... + 2855017547.

It is an arithmetic number, because the mean of its divisors is an integer number (4291297428600).

Almost surely, 2^{201102100201992} is an apocalyptic number.

201102100201992 is a gapful number since it is divisible by the number (22) 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 201102100201992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274643035430400).

201102100201992 is an abundant number, since it is smaller than the sum of its proper divisors (348183970658808).

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

201102100201992 is a wasteful number, since it uses less digits than its factorization.

201102100201992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86587 (or 86583 counting only the distinct ones).

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

The spelling of 201102100201992 in words is "two hundred one trillion, one hundred two billion, one hundred million, two hundred one thousand, nine hundred ninety-two".