201101100121000 has 128 divisors (see below), whose sum is σ = 483929773760160. Its totient is φ = 78173110272000.

The previous prime is 201101100120929. The next prime is 201101100121021. The reversal of 201101100121000 is 121001101102.

It can be written as a sum of positive squares in 16 ways, for example, as 1188025881156 + 199913074239844 = 1089966^2 + 14139062^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994384 + ... + 20079616.

Almost surely, 2^{201101100121000} is an apocalyptic number.

201101100121000 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 201101100121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241964886880080).

201101100121000 is an abundant number, since it is smaller than the sum of its proper divisors (282828673639160).

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

201101100121000 is a wasteful number, since it uses less digits than its factorization.

201101100121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19085552 (or 19085538 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201101100121000 its reverse (121001101102), we get a palindrome (201222101222102).

The spelling of 201101100121000 in words is "two hundred one trillion, one hundred one billion, one hundred million, one hundred twenty-one thousand".