10100023111400 has 96 divisors (see below), whose sum is σ = 23928992430840. Its totient is φ = 3963224079360.

The previous prime is 10100023111397. The next prime is 10100023111403. The reversal of 10100023111400 is 411132000101.

It is an interprime number because it is at equal distance from previous prime (10100023111397) and next prime (10100023111403).

It can be written as a sum of positive squares in 12 ways, for example, as 2996977267684 + 7103045843716 = 1731178^2 + 2665154^2 .

It is not an unprimeable number, because it can be changed into a prime (10100023111403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79616822 + ... + 79743578.

Almost surely, 2^{10100023111400} is an apocalyptic number.

10100023111400 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 10100023111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11964496215420).

10100023111400 is an abundant number, since it is smaller than the sum of its proper divisors (13828969319440).

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

10100023111400 is a wasteful number, since it uses less digits than its factorization.

10100023111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134343 (or 134334 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10100023111400 its reverse (411132000101), we get a palindrome (10511155111501).

The spelling of 10100023111400 in words is "ten trillion, one hundred billion, twenty-three million, one hundred eleven thousand, four hundred".