10101431011104 has 144 divisors (see below), whose sum is σ = 29048160101688. Its totient is φ = 3329437188096.

The previous prime is 10101431011097. The next prime is 10101431011121. The reversal of 10101431011104 is 40111013410101.

It can be written as a sum of positive squares in 4 ways, for example, as 7782693903504 + 2318737107600 = 2789748^2 + 1522740^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 31042654 + ... + 31366370.

Almost surely, 2^{10101431011104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101431011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14524080050844).

10101431011104 is an abundant number, since it is smaller than the sum of its proper divisors (18946729090584).

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

10101431011104 is a wasteful number, since it uses less digits than its factorization.

10101431011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324947 (or 324936 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10101431011104 its reverse (40111013410101), we get a palindrome (50212444421205).

The spelling of 10101431011104 in words is "ten trillion, one hundred one billion, four hundred thirty-one million, eleven thousand, one hundred four".