10142341344100 has 72 divisors (see below), whose sum is σ = 25156072283328. Its totient is φ = 3476950339200.

The previous prime is 10142341344089. The next prime is 10142341344131. The reversal of 10142341344100 is 144314324101.

10142341344100 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 (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4891230 + ... + 6648970.

It is an arithmetic number, because the mean of its divisors is an integer number (349389892824).

Almost surely, 2^{10142341344100} is an apocalyptic number.

10142341344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142341344100 is an abundant number, since it is smaller than the sum of its proper divisors (15013730939228).

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

10142341344100 is a wasteful number, since it uses less digits than its factorization.

10142341344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766005 (or 1765998 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10142341344100 its reverse (144314324101), we get a palindrome (10286655668201).

The spelling of 10142341344100 in words is "ten trillion, one hundred forty-two billion, three hundred forty-one million, three hundred forty-four thousand, one hundred".