10122155200 has 84 divisors (see below), whose sum is σ = 25036642840. Its totient is φ = 4027760640.

The previous prime is 10122155189. The next prime is 10122155201. The reversal of 10122155200 is 255122101.

It is not an unprimeable number, because it can be changed into a prime (10122155201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292411 + ... + 325189.

Almost surely, 2^10122155200 is an apocalyptic number.

10122155200 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 10122155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12518321420).

10122155200 is an abundant number, since it is smaller than the sum of its proper divisors (14914487640).

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

10122155200 is a wasteful number, since it uses less digits than its factorization.

10122155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32994 (or 32979 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 10122155200 its reverse (255122101), we get a palindrome (10377277301).

The spelling of 10122155200 in words is "ten billion, one hundred twenty-two million, one hundred fifty-five thousand, two hundred".