101100202210200 has 192 divisors, whose sum is σ = 313670020262400. Its totient is φ = 26937747648000.

The previous prime is 101100202210169. The next prime is 101100202210207. The reversal of 101100202210200 is 2012202001101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100202210207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9048611814 + ... + 9048622986.

It is an arithmetic number, because the mean of its divisors is an integer number (1633698022200).

Almost surely, 2^{101100202210200} is an apocalyptic number.

101100202210200 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 101100202210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156835010131200).

101100202210200 is an abundant number, since it is smaller than the sum of its proper divisors (212569818052200).

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

101100202210200 is a wasteful number, since it uses less digits than its factorization.

101100202210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22322 (or 22313 counting only the distinct ones).

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

Adding to 101100202210200 its reverse (2012202001101), we get a palindrome (103112404211301).

The spelling of 101100202210200 in words is "one hundred one trillion, one hundred billion, two hundred two million, two hundred ten thousand, two hundred".