100264265221133 has 8 divisors (see below), whose sum is σ = 109456036638648. Its totient is φ = 91283798893824.

The previous prime is 100264265221121. The next prime is 100264265221151. The reversal of 100264265221133 is 331122562462001.

It can be written as a sum of positive squares in 4 ways, for example, as 1272650221924 + 98991614999209 = 1128118^2 + 9949453^2 .

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 100264265221133 - 2⁸ = 100264265220877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100264265221333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52826271560 + ... + 52826273457.

It is an arithmetic number, because the mean of its divisors is an integer number (13682004579831).

Almost surely, 2^{100264265221133} is an apocalyptic number.

100264265221133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100264265221133 is a deficient number, since it is larger than the sum of its proper divisors (9191771417515).

100264265221133 is a wasteful number, since it uses less digits than its factorization.

100264265221133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105652545103.

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 100264265221133 in words is "one hundred trillion, two hundred sixty-four billion, two hundred sixty-five million, two hundred twenty-one thousand, one hundred thirty-three".