101402431004 has 96 divisors (see below), whose sum is σ = 218865991680. Its totient is φ = 40168320192.

The previous prime is 101402430971. The next prime is 101402431019. The reversal of 101402431004 is 400134204101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2369969 + ... + 2412375.

It is an arithmetic number, because the mean of its divisors is an integer number (2279854080).

Almost surely, 2^101402431004 is an apocalyptic number.

101402431004 is a gapful number since it is divisible by the number (14) 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 101402431004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109432995840).

101402431004 is an abundant number, since it is smaller than the sum of its proper divisors (117463560676).

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

101402431004 is a wasteful number, since it uses less digits than its factorization.

101402431004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42567 (or 42565 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101402431004 its reverse (400134204101), we get a palindrome (501536635105).

The spelling of 101402431004 in words is "one hundred one billion, four hundred two million, four hundred thirty-one thousand, four".