10202121212200 has 96 divisors (see below), whose sum is σ = 23819729234400. Its totient is φ = 4063712405760.

The previous prime is 10202121212183. The next prime is 10202121212263. The reversal of 10202121212200 is 221212120201.

It is a happy number.

10202121212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49057639 + ... + 49265161.

It is an arithmetic number, because the mean of its divisors is an integer number (248122179525).

Almost surely, 2^{10202121212200} is an apocalyptic number.

10202121212200 is a gapful number since it is divisible by the number (10) 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 10202121212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11909864617200).

10202121212200 is an abundant number, since it is smaller than the sum of its proper divisors (13617608022200).

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

10202121212200 is a wasteful number, since it uses less digits than its factorization.

10202121212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208571 (or 208562 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10202121212200 its reverse (221212120201), we get a palindrome (10423333332401).

The spelling of 10202121212200 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two hundred twelve thousand, two hundred".