101100023216400 has 480 divisors, whose sum is σ = 369343298016000. Its totient is φ = 23418569687040.

The previous prime is 101100023216389. The next prime is 101100023216497. The reversal of 101100023216400 is 4612320001101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1907557101 + ... + 1907610099.

It is an arithmetic number, because the mean of its divisors is an integer number (769465204200).

Almost surely, 2^{101100023216400} is an apocalyptic number.

101100023216400 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 101100023216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184671649008000).

101100023216400 is an abundant number, since it is smaller than the sum of its proper divisors (268243274799600).

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

101100023216400 is a wasteful number, since it uses less digits than its factorization.

101100023216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60243 (or 60232 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101100023216400 its reverse (4612320001101), we get a palindrome (105712343217501).

The spelling of 101100023216400 in words is "one hundred one trillion, one hundred billion, twenty-three million, two hundred sixteen thousand, four hundred".