10100001122200 has 96 divisors (see below), whose sum is σ = 25629319998000. Its totient is φ = 3671000883200.

The previous prime is 10100001122191. The next prime is 10100001122291. The reversal of 10100001122200 is 222110000101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 3605616 + ... + 5761984.

Almost surely, 2^{10100001122200} is an apocalyptic number.

10100001122200 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 10100001122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12814659999000).

10100001122200 is an abundant number, since it is smaller than the sum of its proper divisors (15529318875800).

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

10100001122200 is a wasteful number, since it uses less digits than its factorization.

10100001122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158525 (or 2158516 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100001122200 its reverse (222110000101), we get a palindrome (10322111122301).

It can be divided in two parts, 10100001 and 122200, that added together give a palindrome (10222201).

The spelling of 10100001122200 in words is "ten trillion, one hundred billion, one million, one hundred twenty-two thousand, two hundred".