101411400014304 has 192 divisors, whose sum is σ = 286517764915200. Its totient is φ = 31312289428992.

The previous prime is 101411400014297. The next prime is 101411400014359. The reversal of 101411400014304 is 403410004114101.

It is a super-2 number, since 2×101411400014304² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 11425497 + ... + 18258279.

It is an arithmetic number, because the mean of its divisors is an integer number (1492280025600).

Almost surely, 2^{101411400014304} 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 101411400014304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143258882457600).

101411400014304 is an abundant number, since it is smaller than the sum of its proper divisors (185106364900896).

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

101411400014304 is a wasteful number, since it uses less digits than its factorization.

101411400014304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832997 (or 6832989 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101411400014304 its reverse (403410004114101), we get a palindrome (504821404128405).

The spelling of 101411400014304 in words is "one hundred one trillion, four hundred eleven billion, four hundred million, fourteen thousand, three hundred four".