201101210201000 has 256 divisors, whose sum is σ = 504429698223360. Its totient is φ = 74771505561600.

The previous prime is 201101210200991. The next prime is 201101210201029. The reversal of 201101210201000 is 102012101102.

201101210201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4519410752 + ... + 4519455248.

It is an arithmetic number, because the mean of its divisors is an integer number (1970428508685).

Almost surely, 2^{201101210201000} is an apocalyptic number.

201101210201000 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 201101210201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252214849111680).

201101210201000 is an abundant number, since it is smaller than the sum of its proper divisors (303328488022360).

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

201101210201000 is a wasteful number, since it uses less digits than its factorization.

201101210201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47821 (or 47807 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201101210201000 its reverse (102012101102), we get a palindrome (201203222302102).

The spelling of 201101210201000 in words is "two hundred one trillion, one hundred one billion, two hundred ten million, two hundred one thousand".