101007961 has 2 divisors, whose sum is σ = 101007962. Its totient is φ = 101007960.

The previous prime is 101007947. The next prime is 101007997. The reversal of 101007961 is 169700101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100881936 + 126025 = 10044^2 + 355^2 .

It is a cyclic number.

It is not a de Polignac number, because 101007961 - 2²¹ = 98910809 is a prime.

It is not a weakly prime, because it can be changed into another prime (101007061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50503980 + 50503981.

It is an arithmetic number, because the mean of its divisors is an integer number (50503981).

Almost surely, 2^101007961 is an apocalyptic number.

It is an amenable number.

101007961 is a deficient number, since it is larger than the sum of its proper divisors (1).

101007961 is an equidigital number, since it uses as much as digits as its factorization.

101007961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 25.

The square root of 101007961 is about 10050.2716878699. The cubic root of 101007961 is about 465.7131862519.

The spelling of 101007961 in words is "one hundred one million, seven thousand, nine hundred sixty-one".