100133221110021 has 72 divisors (see below), whose sum is σ = 164470313269080. Its totient is φ = 58591593984000.

The previous prime is 100133221110019. The next prime is 100133221110061. The reversal of 100133221110021 is 120011122331001.

100133221110021 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 332 + 211 + 100 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21583820013921 + 78549401096100 = 4645839^2 + 8862810^2 .

It is not a de Polignac number, because 100133221110021 - 2¹ = 100133221110019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100133221109976 and 100133221110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133221110061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 914562601 + ... + 914672081.

It is an arithmetic number, because the mean of its divisors is an integer number (2284309906515).

Almost surely, 2^{100133221110021} is an apocalyptic number.

100133221110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100133221110021 is a deficient number, since it is larger than the sum of its proper divisors (64337092159059).

100133221110021 is a wasteful number, since it uses less digits than its factorization.

100133221110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138499 (or 138485 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100133221110021 its reverse (120011122331001), we get a palindrome (220144343441022).

The spelling of 100133221110021 in words is "one hundred trillion, one hundred thirty-three billion, two hundred twenty-one million, one hundred ten thousand, twenty-one".