101025961 has 2 divisors, whose sum is σ = 101025962. Its totient is φ = 101025960.

The previous prime is 101025949. The next prime is 101025973. The reversal of 101025961 is 169520101.

It is a balanced prime because it is at equal distance from previous prime (101025949) and next prime (101025973).

It can be written as a sum of positive squares in only one way, i.e., 56550400 + 44475561 = 7520^2 + 6669^2 .

It is a cyclic number.

It is not a de Polignac number, because 101025961 - 2¹⁷ = 100894889 is a prime.

It is not a weakly prime, because it can be changed into another prime (101025901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50512980 + 50512981.

It is an arithmetic number, because the mean of its divisors is an integer number (50512981).

Almost surely, 2^101025961 is an apocalyptic number.

It is an amenable number.

101025961 is a deficient number, since it is larger than the sum of its proper divisors (1).

101025961 is an equidigital number, since it uses as much as digits as its factorization.

101025961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 101025961 is about 10051.1671461577. The cubic root of 101025961 is about 465.7408485581.

The spelling of 101025961 in words is "one hundred one million, twenty-five thousand, nine hundred sixty-one".