91001211011401 has 2 divisors, whose sum is σ = 91001211011402. Its totient is φ = 91001211011400.

The previous prime is 91001211011393. The next prime is 91001211011509. The reversal of 91001211011401 is 10411011210019.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67637860402176 + 23363350609225 = 8224224^2 + 4833565^2 .

It is a cyclic number.

It is not a de Polignac number, because 91001211011401 - 2³ = 91001211011393 is a prime.

It is a super-2 number, since 2×91001211011401² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (91001211012401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45500605505700 + 45500605505701.

It is an arithmetic number, because the mean of its divisors is an integer number (45500605505701).

Almost surely, 2^{91001211011401} is an apocalyptic number.

It is an amenable number.

91001211011401 is a deficient number, since it is larger than the sum of its proper divisors (1).

91001211011401 is an equidigital number, since it uses as much as digits as its factorization.

91001211011401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 91001211011401 in words is "ninety-one trillion, one billion, two hundred eleven million, eleven thousand, four hundred one".