101764921 has 2 divisors, whose sum is σ = 101764922. Its totient is φ = 101764920.

The previous prime is 101764891. The next prime is 101764937. The reversal of 101764921 is 129467101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66243321 + 35521600 = 8139^2 + 5960^2 .

It is an emirp because it is prime and its reverse (129467101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101764921 - 2¹³ = 101756729 is a prime.

It is a super-2 number, since 2×101764921² = 20712198292272482, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101764021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50882460 + 50882461.

It is an arithmetic number, because the mean of its divisors is an integer number (50882461).

Almost surely, 2^101764921 is an apocalyptic number.

It is an amenable number.

101764921 is a deficient number, since it is larger than the sum of its proper divisors (1).

101764921 is an equidigital number, since it uses as much as digits as its factorization.

101764921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 101764921 is about 10087.8600803144. The cubic root of 101764921 is about 466.8736534736.

The spelling of 101764921 in words is "one hundred one million, seven hundred sixty-four thousand, nine hundred twenty-one".