101123103220200 has 144 divisors (see below), whose sum is σ = 339692706569580. Its totient is φ = 26959203578880.

The previous prime is 101123103220189. The next prime is 101123103220253. The reversal of 101123103220200 is 2022301321101.

101123103220200 is a `hidden beast` number, since 1 + 0 + 1 + 12 + 310 + 322 + 0 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1816656491556 + 99306446728644 = 1347834^2 + 9965262^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266629 + ... + 14223828.

Almost surely, 2^{101123103220200} is an apocalyptic number.

101123103220200 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 101123103220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169846353284790).

101123103220200 is an abundant number, since it is smaller than the sum of its proper divisors (238569603349380).

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

101123103220200 is a wasteful number, since it uses less digits than its factorization.

101123103220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14494356 (or 14494344 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101123103220200 its reverse (2022301321101), we get a palindrome (103145404541301).

The spelling of 101123103220200 in words is "one hundred one trillion, one hundred twenty-three billion, one hundred three million, two hundred twenty thousand, two hundred".