101214400344 has 64 divisors (see below), whose sum is σ = 262885240800. Its totient is φ = 32434891776.

The previous prime is 101214400337. The next prime is 101214400361. The reversal of 101214400344 is 443004412101.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149899 + ... + 474234.

Almost surely, 2^101214400344 is an apocalyptic number.

It is an amenable number.

101214400344 is an abundant number, since it is smaller than the sum of its proper divisors (161670840456).

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

101214400344 is a wasteful number, since it uses less digits than its factorization.

101214400344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624404 (or 624400 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101214400344 its reverse (443004412101), we get a palindrome (544218812445).

The spelling of 101214400344 in words is "one hundred one billion, two hundred fourteen million, four hundred thousand, three hundred forty-four".