101672337321 has 45 divisors (see below), whose sum is σ = 154359532173. Its totient is φ = 66692966760.

The previous prime is 101672337307. The next prime is 101672337329. The reversal of 101672337321 is 123733276101.

The square root of 101672337321 is 318861.

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

It is not a de Polignac number, because 101672337321 - 2⁵ = 101672337289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101672337329) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 203751930 + ... + 203752428.

Almost surely, 2^101672337321 is an apocalyptic number.

101672337321 is the 318861-st square number.

101672337321 is the 159431-st centered octagonal number.

It is an amenable number.

101672337321 is a deficient number, since it is larger than the sum of its proper divisors (52687194852).

101672337321 is an frugal number, since it uses more digits than its factorization.

101672337321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Multiplying 101672337321 by its sum of digits (36), we get a square (3660204143556 = 1913166²).

The spelling of 101672337321 in words is "one hundred one billion, six hundred seventy-two million, three hundred thirty-seven thousand, three hundred twenty-one".