10122101011091 has 2 divisors, whose sum is σ = 10122101011092. Its totient is φ = 10122101011090.

The previous prime is 10122101011073. The next prime is 10122101011103. The reversal of 10122101011091 is 19011010122101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10122101011091 - 2³⁴ = 10104921141907 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122101011691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061050505545 + 5061050505546.

It is an arithmetic number, because the mean of its divisors is an integer number (5061050505546).

Almost surely, 2^{10122101011091} is an apocalyptic number.

10122101011091 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122101011091 is an equidigital number, since it uses as much as digits as its factorization.

10122101011091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

Adding to 10122101011091 its reverse (19011010122101), we get a palindrome (29133111133192).

It can be divided in two parts, 101221010 and 11091, that added together give a palindrome (101232101).

The spelling of 10122101011091 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, eleven thousand, ninety-one".