201101212000 has 144 divisors (see below), whose sum is σ = 535039307712. Its totient is φ = 74252505600.

The previous prime is 201101211991. The next prime is 201101212031. The reversal of 201101212000 is 212101102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527257 + ... + 824743.

It is an arithmetic number, because the mean of its divisors is an integer number (3715550748).

Almost surely, 2^201101212000 is an apocalyptic number.

201101212000 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 201101212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267519653856).

201101212000 is an abundant number, since it is smaller than the sum of its proper divisors (333938095712).

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

201101212000 is a wasteful number, since it uses less digits than its factorization.

201101212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297538 (or 297507 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201101212000 its reverse (212101102), we get a palindrome (201313313102).

The spelling of 201101212000 in words is "two hundred one billion, one hundred one million, two hundred twelve thousand".