101022210021961 has 2 divisors, whose sum is σ = 101022210021962. Its totient is φ = 101022210021960.

The previous prime is 101022210021923. The next prime is 101022210022073. The reversal of 101022210021961 is 169120012220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93715352287561 + 7306857734400 = 9680669^2 + 2703120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101022210021961 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022210031961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511105010980 + 50511105010981.

It is an arithmetic number, because the mean of its divisors is an integer number (50511105010981).

Almost surely, 2^{101022210021961} is an apocalyptic number.

It is an amenable number.

101022210021961 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022210021961 is an equidigital number, since it uses as much as digits as its factorization.

101022210021961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 28.

The spelling of 101022210021961 in words is "one hundred one trillion, twenty-two billion, two hundred ten million, twenty-one thousand, nine hundred sixty-one".