90101243348100 has 108 divisors (see below), whose sum is σ = 282427275539136. Its totient is φ = 24026153088960.

The previous prime is 90101243348033. The next prime is 90101243348101. The reversal of 90101243348100 is 184334210109.

90101243348100 is a `hidden beast` number, since 90 + 1 + 0 + 124 + 3 + 348 + 100 = 666.

It is a super-2 number, since 2×90101243348100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90101243348101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24050329 + ... + 27543071.

Almost surely, 2^{90101243348100} is an apocalyptic number.

90101243348100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90101243348100 is an abundant number, since it is smaller than the sum of its proper divisors (192326032191036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90101243348100 is a wasteful number, since it uses less digits than its factorization.

90101243348100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521426 (or 3521416 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 90101243348100 its reverse (184334210109), we get a palindrome (90285577558209).

The spelling of 90101243348100 in words is "ninety trillion, one hundred one billion, two hundred forty-three million, three hundred forty-eight thousand, one hundred".