101214400452334 has 64 divisors (see below), whose sum is σ = 174095352345600. Its totient is φ = 43718209463808.

The previous prime is 101214400452289. The next prime is 101214400452349. The reversal of 101214400452334 is 433254004412101.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 101214400452334.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1975313487 + ... + 1975364725.

It is an arithmetic number, because the mean of its divisors is an integer number (2720239880400).

Almost surely, 2^{101214400452334} is an apocalyptic number.

101214400452334 is a deficient number, since it is larger than the sum of its proper divisors (72880951893266).

101214400452334 is a wasteful number, since it uses less digits than its factorization.

101214400452334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76417.

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 101214400452334 its reverse (433254004412101), we get a palindrome (534468404864435).

The spelling of 101214400452334 in words is "one hundred one trillion, two hundred fourteen billion, four hundred million, four hundred fifty-two thousand, three hundred thirty-four".