911121122012101 has 64 divisors (see below), whose sum is σ = 1257145276907520. Its totient is φ = 637363850135040.

The previous prime is 911121122012081. The next prime is 911121122012107. The reversal of 911121122012101 is 101210221121119.

It is not a de Polignac number, because 911121122012101 - 2³¹ = 911118974528453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (911121122012107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35395221 + ... + 55453258.

It is an arithmetic number, because the mean of its divisors is an integer number (19642894951680).

Almost surely, 2^{911121122012101} is an apocalyptic number.

911121122012101 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

911121122012101 is a deficient number, since it is larger than the sum of its proper divisors (346024154895419).

911121122012101 is a wasteful number, since it uses less digits than its factorization.

911121122012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90848786.

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 911121122012101 in words is "nine hundred eleven trillion, one hundred twenty-one billion, one hundred twenty-two million, twelve thousand, one hundred one".