10201102210200 has 96 divisors (see below), whose sum is σ = 34498272951360. Its totient is φ = 2472994473600.

The previous prime is 10201102210177. The next prime is 10201102210259. The reversal of 10201102210200 is 201220110201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772804174 + ... + 772817373.

It is an arithmetic number, because the mean of its divisors is an integer number (359357009910).

Almost surely, 2^{10201102210200} is an apocalyptic number.

10201102210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201102210200 is an abundant number, since it is smaller than the sum of its proper divisors (24297170741160).

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

10201102210200 is a wasteful number, since it uses less digits than its factorization.

10201102210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545621577 (or 1545621568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10201102210200 its reverse (201220110201), we get a palindrome (10402322320401).

The spelling of 10201102210200 in words is "ten trillion, two hundred one billion, one hundred two million, two hundred ten thousand, two hundred".