101102201211961 has 2 divisors, whose sum is σ = 101102201211962. Its totient is φ = 101102201211960.

The previous prime is 101102201211959. The next prime is 101102201212027. The reversal of 101102201211961 is 169112102201101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100621342178361 + 480859033600 = 10031019^2 + 693440^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102201211961 - 2¹ = 101102201211959 is a prime.

Together with 101102201211959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101102201211161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551100605980 + 50551100605981.

It is an arithmetic number, because the mean of its divisors is an integer number (50551100605981).

Almost surely, 2^{101102201211961} is an apocalyptic number.

It is an amenable number.

101102201211961 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102201211961 is an equidigital number, since it uses as much as digits as its factorization.

101102201211961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 28.

The spelling of 101102201211961 in words is "one hundred one trillion, one hundred two billion, two hundred one million, two hundred eleven thousand, nine hundred sixty-one".