101202221210200 has 384 divisors, whose sum is σ = 264702032360640. Its totient is φ = 35674214400000.

The previous prime is 101202221210197. The next prime is 101202221210219. The reversal of 101202221210200 is 2012122202101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2222199430 + ... + 2222244970.

Almost surely, 2^{101202221210200} is an apocalyptic number.

101202221210200 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 101202221210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132351016180320).

101202221210200 is an abundant number, since it is smaller than the sum of its proper divisors (163499811150440).

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

101202221210200 is a wasteful number, since it uses less digits than its factorization.

101202221210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45879 (or 45870 counting only the distinct ones).

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

Adding to 101202221210200 its reverse (2012122202101), we get a palindrome (103214343412301).

It can be divided in two parts, 1012022 and 21210200, that added together give a palindrome (22222222).

The spelling of 101202221210200 in words is "one hundred one trillion, two hundred two billion, two hundred twenty-one million, two hundred ten thousand, two hundred".