100020113032221 has 8 divisors (see below), whose sum is σ = 148177945232960. Its totient is φ = 66680075354796.

The previous prime is 100020113032211. The next prime is 100020113032249. The reversal of 100020113032221 is 122230311020001.

100020113032221 is a `hidden beast` number, since 10 + 0 + 0 + 201 + 130 + 322 + 2 + 1 = 666.

It is not a de Polignac number, because 100020113032221 - 2⁶ = 100020113032157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100020113032194 and 100020113032203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020113032211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1852224315385 + ... + 1852224315438.

It is an arithmetic number, because the mean of its divisors is an integer number (18522243154120).

Almost surely, 2^{100020113032221} is an apocalyptic number.

It is an amenable number.

100020113032221 is a deficient number, since it is larger than the sum of its proper divisors (48157832200739).

100020113032221 is an equidigital number, since it uses as much as digits as its factorization.

100020113032221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704448630832 (or 3704448630826 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100020113032221 its reverse (122230311020001), we get a palindrome (222250424052222).

The spelling of 100020113032221 in words is "one hundred trillion, twenty billion, one hundred thirteen million, thirty-two thousand, two hundred twenty-one".