101401431001000 has 256 divisors, whose sum is σ = 268676594222400. Its totient is φ = 35556853248000.

The previous prime is 101401431000953. The next prime is 101401431001049. The reversal of 101401431001000 is 100134104101.

It can be written as a sum of positive squares in 32 ways, for example, as 62253709570404 + 39147721430596 = 7890102^2 + 6256814^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20792334 + ... + 25201666.

Almost surely, 2^{101401431001000} is an apocalyptic number.

101401431001000 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 101401431001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134338297111200).

101401431001000 is an abundant number, since it is smaller than the sum of its proper divisors (167275163221400).

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

101401431001000 is a wasteful number, since it uses less digits than its factorization.

101401431001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409457 (or 4409443 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101401431001000 its reverse (100134104101), we get a palindrome (101501565105101).

The spelling of 101401431001000 in words is "one hundred one trillion, four hundred one billion, four hundred thirty-one million, one thousand".