101210002200 has 240 divisors, whose sum is σ = 352109970960. Its totient is φ = 26943840000.

The previous prime is 101210002181. The next prime is 101210002207. The reversal of 101210002200 is 2200012101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210002207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10217250 + ... + 10227150.

It is an arithmetic number, because the mean of its divisors is an integer number (1467124879).

Almost surely, 2^101210002200 is an apocalyptic number.

101210002200 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 101210002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176054985480).

101210002200 is an abundant number, since it is smaller than the sum of its proper divisors (250899968760).

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

101210002200 is a wasteful number, since it uses less digits than its factorization.

101210002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10560 (or 10542 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101210002200 its reverse (2200012101), we get a palindrome (103410014301).

Subtracting from 101210002200 its reverse (2200012101), we obtain a palindrome (99009990099).

The spelling of 101210002200 in words is "one hundred one billion, two hundred ten million, two thousand, two hundred".