10100310431400 has 1152 divisors, whose sum is σ = 42438198067200. Its totient is φ = 2101965465600.

The previous prime is 10100310431303. The next prime is 10100310431417. The reversal of 10100310431400 is 413401300101.

10100310431400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 596689737 + ... + 596706663.

It is an arithmetic number, because the mean of its divisors is an integer number (36838713600).

Almost surely, 2^{10100310431400} is an apocalyptic number.

10100310431400 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 10100310431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21219099033600).

10100310431400 is an abundant number, since it is smaller than the sum of its proper divisors (32337887635800).

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

10100310431400 is a wasteful number, since it uses less digits than its factorization.

10100310431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17079 (or 17067 counting only the distinct ones).

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

Adding to 10100310431400 its reverse (413401300101), we get a palindrome (10513711731501).

The spelling of 10100310431400 in words is "ten trillion, one hundred billion, three hundred ten million, four hundred thirty-one thousand, four hundred".