100211123032033 has 8 divisors (see below), whose sum is σ = 107920690772328. Its totient is φ = 92501700979584.

The previous prime is 100211123031923. The next prime is 100211123032057. The reversal of 100211123032033 is 330230321112001.

It can be written as a sum of positive squares in 4 ways, for example, as 200482749009 + 100010640283024 = 447753^2 + 10000532^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-100211123032033 is a prime.

It is a super-2 number, since 2×100211123032033² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100211123031995 and 100211123032013.

It is not an unprimeable number, because it can be changed into a prime (100211129032033) 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, 34991266 + ... + 37746667.

It is an arithmetic number, because the mean of its divisors is an integer number (13490086346541).

Almost surely, 2^{100211123032033} is an apocalyptic number.

100211123032033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100211123032033 is a deficient number, since it is larger than the sum of its proper divisors (7709567740295).

100211123032033 is a wasteful number, since it uses less digits than its factorization.

100211123032033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72843923.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 100211123032033 its reverse (330230321112001), we get a palindrome (430441444144034).

The spelling of 100211123032033 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-three million, thirty-two thousand, thirty-three".