101947167478321 has 27 divisors (see below), whose sum is σ = 113071986549067. Its totient is φ = 91847764352960.

The previous prime is 101947167478313. The next prime is 101947167478333. The reversal of 101947167478321 is 123874761749101.

The square root of 101947167478321 is 10096889.

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

It can be written as a sum of positive squares in only one way, i.e., 1796390687025 + 100150776791296 = 1340295^2 + 10007536^2 .

It is not a de Polignac number, because 101947167478321 - 2³ = 101947167478313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101947167478321.

It is not an unprimeable number, because it can be changed into a prime (101947167478301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12550428966 + ... + 12550437088.

Almost surely, 2^{101947167478321} is an apocalyptic number.

101947167478321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101947167478321 is the 10096889-th square number.

101947167478321 is the 5048445-th centered octagonal number.

It is an amenable number.

101947167478321 is a deficient number, since it is larger than the sum of its proper divisors (11124819070746).

101947167478321 is an frugal number, since it uses more digits than its factorization.

101947167478321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16494 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 61.

The spelling of 101947167478321 in words is "one hundred one trillion, nine hundred forty-seven billion, one hundred sixty-seven million, four hundred seventy-eight thousand, three hundred twenty-one".