101699123409 has 135 divisors (see below), whose sum is σ = 173744142117. Its totient is φ = 57310695936.

The previous prime is 101699123353. The next prime is 101699123411. The reversal of 101699123409 is 904321996101.

The square root of 101699123409 is 318903.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 101603475009 + 95648400 = 318753^2 + 9780^2 .

It is not a de Polignac number, because 101699123409 - 2²¹ = 101697026257 is a prime.

It is a super-3 number, since 3×101699123409³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101699123419) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 2748624939 + ... + 2748624975.

Almost surely, 2^101699123409 is an apocalyptic number.

101699123409 is the 318903-rd square number.

101699123409 is the 159452-nd centered octagonal number.

It is an amenable number.

101699123409 is a deficient number, since it is larger than the sum of its proper divisors (72045018708).

101699123409 is an frugal number, since it uses more digits than its factorization.

101699123409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

It can be divided in two parts, 1016991 and 23409, that added together give a square (1040400 = 1020²).

The spelling of 101699123409 in words is "one hundred one billion, six hundred ninety-nine million, one hundred twenty-three thousand, four hundred nine".