101444434399 has 32 divisors (see below), whose sum is σ = 129543068160. Its totient is φ = 77134377600.

The previous prime is 101444434393. The next prime is 101444434423. The reversal of 101444434399 is 993434444101.

It is a happy number.

It is not a de Polignac number, because 101444434399 - 2¹³ = 101444426207 is a prime.

It is a super-3 number, since 3×101444434399³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101444434393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3525129 + ... + 3553789.

It is an arithmetic number, because the mean of its divisors is an integer number (4048220880).

Almost surely, 2^101444434399 is an apocalyptic number.

101444434399 is a deficient number, since it is larger than the sum of its proper divisors (28098633761).

101444434399 is a wasteful number, since it uses less digits than its factorization.

101444434399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29791.

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 101444434399 in words is "one hundred one billion, four hundred forty-four million, four hundred thirty-four thousand, three hundred ninety-nine".