201011210121200 has 120 divisors (see below), whose sum is σ = 513379909164720. Its totient is φ = 75418483968000.

The previous prime is 201011210121191. The next prime is 201011210121209. The reversal of 201011210121200 is 2121012110102.

It is an interprime number because it is at equal distance from previous prime (201011210121191) and next prime (201011210121209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201011210121209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130167269 + ... + 131702468.

It is an arithmetic number, because the mean of its divisors is an integer number (4278165909706).

Almost surely, 2^{201011210121200} is an apocalyptic number.

201011210121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201011210121200 is an abundant number, since it is smaller than the sum of its proper divisors (312368699043520).

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

201011210121200 is a wasteful number, since it uses less digits than its factorization.

201011210121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261869875 (or 261869864 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201011210121200 its reverse (2121012110102), we get a palindrome (203132222231302).

The spelling of 201011210121200 in words is "two hundred one trillion, eleven billion, two hundred ten million, one hundred twenty-one thousand, two hundred".