101103222123200 has 672 divisors, whose sum is σ = 281218021751808. Its totient is φ = 35756055244800.

The previous prime is 101103222123193. The next prime is 101103222123203. The reversal of 101103222123200 is 2321222301101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (101103222123203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16314862502 + ... + 16314868698.

Almost surely, 2^{101103222123200} is an apocalyptic number.

101103222123200 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 101103222123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140609010875904).

101103222123200 is an abundant number, since it is smaller than the sum of its proper divisors (180114799628608).

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

101103222123200 is a wasteful number, since it uses less digits than its factorization.

101103222123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101103222123200 its reverse (2321222301101), we get a palindrome (103424444424301).

The spelling of 101103222123200 in words is "one hundred one trillion, one hundred three billion, two hundred twenty-two million, one hundred twenty-three thousand, two hundred".