201100122000 has 240 divisors, whose sum is σ = 717322874112. Its totient is φ = 52485484800.

The previous prime is 201100121983. The next prime is 201100122001. The reversal of 201100122000 is 221001102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (201100122001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727147 + ... + 964853.

Almost surely, 2^201100122000 is an apocalyptic number.

201100122000 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 201100122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358661437056).

201100122000 is an abundant number, since it is smaller than the sum of its proper divisors (516222752112).

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

201100122000 is a wasteful number, since it uses less digits than its factorization.

201100122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237783 (or 237764 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201100122000 its reverse (221001102), we get a palindrome (201321123102).

The spelling of 201100122000 in words is "two hundred one billion, one hundred million, one hundred twenty-two thousand".