100221142021 has 108 divisors (see below), whose sum is σ = 143587930500. Its totient is φ = 69581191680.

The previous prime is 100221141997. The next prime is 100221142067. The reversal of 100221142021 is 120241122001.

It can be written as a sum of positive squares in 6 ways, for example, as 45066619521 + 55154522500 = 212289^2 + 234850^2 .

It is not a de Polignac number, because 100221142021 - 2⁵ = 100221141989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100221141986 and 100221142004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221142121) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 29056305 + ... + 29059753.

It is an arithmetic number, because the mean of its divisors is an integer number (1329517875).

Almost surely, 2^100221142021 is an apocalyptic number.

100221142021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100221142021 is a deficient number, since it is larger than the sum of its proper divisors (43366788479).

100221142021 is a wasteful number, since it uses less digits than its factorization.

100221142021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100221142021 its reverse (120241122001), we get a palindrome (220462264022).

It can be divided in two parts, 100221 and 142021, that added together give a palindrome (242242).

The spelling of 100221142021 in words is "one hundred billion, two hundred twenty-one million, one hundred forty-two thousand, twenty-one".