201002101122200 has 192 divisors, whose sum is σ = 562215688512000. Its totient is φ = 65286237219840.

The previous prime is 201002101122169. The next prime is 201002101122239. The reversal of 201002101122200 is 2221101200102.

It is a super-2 number, since 2×201002101122200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1460776604 + ... + 1460914196.

It is an arithmetic number, because the mean of its divisors is an integer number (2928206711000).

Almost surely, 2^{201002101122200} is an apocalyptic number.

201002101122200 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 201002101122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281107844256000).

201002101122200 is an abundant number, since it is smaller than the sum of its proper divisors (361213587389800).

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

201002101122200 is a wasteful number, since it uses less digits than its factorization.

201002101122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192554 (or 192545 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201002101122200 its reverse (2221101200102), we get a palindrome (203223202322302).

The spelling of 201002101122200 in words is "two hundred one trillion, two billion, one hundred one million, one hundred twenty-two thousand, two hundred".