10100030340400 has 960 divisors, whose sum is σ = 33160933564416. Its totient is φ = 2854563840000.

The previous prime is 10100030340397. The next prime is 10100030340437. The reversal of 10100030340400 is 404303000101.

10100030340400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10100030340400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5540333889 + ... + 5540335711.

Almost surely, 2^{10100030340400} is an apocalyptic number.

10100030340400 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 10100030340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16580466782208).

10100030340400 is an abundant number, since it is smaller than the sum of its proper divisors (23060903224016).

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

10100030340400 is a wasteful number, since it uses less digits than its factorization.

10100030340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10100030340400 its reverse (404303000101), we get a palindrome (10504333340501).

The spelling of 10100030340400 in words is "ten trillion, one hundred billion, thirty million, three hundred forty thousand, four hundred".