10101101000091 has 32 divisors (see below), whose sum is σ = 13668758788608. Its totient is φ = 6634494086400.

The previous prime is 10101101000051. The next prime is 10101101000101. The reversal of 10101101000091 is 19000010110101.

It is not a de Polignac number, because 10101101000091 - 2¹⁸ = 10101100737947 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101101000091.

It is not an unprimeable number, because it can be changed into a prime (10101101000021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51105031 + ... + 51302303.

It is an arithmetic number, because the mean of its divisors is an integer number (427148712144).

Almost surely, 2^{10101101000091} is an apocalyptic number.

10101101000091 is a deficient number, since it is larger than the sum of its proper divisors (3567657788517).

10101101000091 is a wasteful number, since it uses less digits than its factorization.

10101101000091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198211.

The product of its (nonzero) digits is 9, while the sum is 15.

Adding to 10101101000091 its reverse (19000010110101), we get a palindrome (29101111110192).

The spelling of 10101101000091 in words is "ten trillion, one hundred one billion, one hundred one million, ninety-one", and thus it is an aban number.