101321929 has 2 divisors, whose sum is σ = 101321930. Its totient is φ = 101321928.

The previous prime is 101321917. The next prime is 101321933. The reversal of 101321929 is 929123101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100902025 + 419904 = 10045^2 + 648^2 .

It is a cyclic number.

It is not a de Polignac number, because 101321929 - 2⁵ = 101321897 is a prime.

It is a super-2 number, since 2×101321929² = 20532266592562082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101321897 and 101321906.

It is not a weakly prime, because it can be changed into another prime (101321959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660964 + 50660965.

It is an arithmetic number, because the mean of its divisors is an integer number (50660965).

Almost surely, 2^101321929 is an apocalyptic number.

It is an amenable number.

101321929 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321929 is an equidigital number, since it uses as much as digits as its factorization.

101321929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 101321929 is about 10065.8794449367. The cubic root of 101321929 is about 466.1952202004.

The spelling of 101321929 in words is "one hundred one million, three hundred twenty-one thousand, nine hundred twenty-nine".