91001211011001 has 12 divisors (see below), whose sum is σ = 131446300262628. Its totient is φ = 60667424816544.

The previous prime is 91001211010999. The next prime is 91001211011017. The reversal of 91001211011001 is 10011011210019.

It can be written as a sum of positive squares in 2 ways, for example, as 49372390849401 + 41628820161600 = 7026549^2 + 6452040^2 .

It is not a de Polignac number, because 91001211011001 - 2¹ = 91001211010999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (91001211011401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10267171 + ... + 16953383.

It is an arithmetic number, because the mean of its divisors is an integer number (10953858355219).

Almost surely, 2^{91001211011001} is an apocalyptic number.

It is an amenable number.

91001211011001 is a deficient number, since it is larger than the sum of its proper divisors (40445089251627).

91001211011001 is a wasteful number, since it uses less digits than its factorization.

91001211011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8198472 (or 8198469 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 91001211011001 in words is "ninety-one trillion, one billion, two hundred eleven million, eleven thousand, one".