10210122101200 has 90 divisors (see below), whose sum is σ = 28534686704646. Its totient is φ = 3500613285120.

The previous prime is 10210122101147. The next prime is 10210122101209. The reversal of 10210122101200 is 210122101201.

It can be written as a sum of positive squares in 3 ways, for example, as 2572482378816 + 7637639722384 = 1603896^2 + 2763628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210122101209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 260442699 + ... + 260481898.

Almost surely, 2^{10210122101200} is an apocalyptic number.

10210122101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210122101200 is an abundant number, since it is smaller than the sum of its proper divisors (18324564603446).

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

10210122101200 is a wasteful number, since it uses less digits than its factorization.

10210122101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520924629 (or 520924611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10210122101200 its reverse (210122101201), we get a palindrome (10420244202401).

Subtracting from 10210122101200 its reverse (210122101201), we obtain a palindrome (9999999999999).

The spelling of 10210122101200 in words is "ten trillion, two hundred ten billion, one hundred twenty-two million, one hundred one thousand, two hundred".