90101110131121 has 8 divisors (see below), whose sum is σ = 90229317202080. Its totient is φ = 89972981073888.

The previous prime is 90101110131119. The next prime is 90101110131133. The reversal of 90101110131121 is 12113101110109.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90101110131121 - 2¹ = 90101110131119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90101110131092 and 90101110131101.

It is not an unprimeable number, because it can be changed into a prime (90101110531121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17191716 + ... + 21811861.

It is an arithmetic number, because the mean of its divisors is an integer number (11278664650260).

Almost surely, 2^{90101110131121} is an apocalyptic number.

It is an amenable number.

90101110131121 is a deficient number, since it is larger than the sum of its proper divisors (128207070959).

90101110131121 is a wasteful number, since it uses less digits than its factorization.

90101110131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39006863.

The product of its (nonzero) digits is 54, while the sum is 22.

The spelling of 90101110131121 in words is "ninety trillion, one hundred one billion, one hundred ten million, one hundred thirty-one thousand, one hundred twenty-one".