100022002220021 has 96 divisors (see below), whose sum is σ = 126134962560000. Its totient is φ = 78780706787328.

The previous prime is 100022002220009. The next prime is 100022002220033. The reversal of 100022002220021 is 120022200220001.

It is an interprime number because it is at equal distance from previous prime (100022002220009) and next prime (100022002220033).

It is not a de Polignac number, because 100022002220021 - 2¹⁸ = 100022001957877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100022002219978 and 100022002220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022002220521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21514732505 + ... + 21514737153.

It is an arithmetic number, because the mean of its divisors is an integer number (1313905860000).

Almost surely, 2^{100022002220021} is an apocalyptic number.

It is an amenable number.

100022002220021 is a deficient number, since it is larger than the sum of its proper divisors (26112960339979).

100022002220021 is a wasteful number, since it uses less digits than its factorization.

100022002220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7011 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100022002220021 its reverse (120022200220001), we get a palindrome (220044202440022).

It can be divided in two parts, 10002200 and 2220021, that added together give a palindrome (12222221).

The spelling of 100022002220021 in words is "one hundred trillion, twenty-two billion, two million, two hundred twenty thousand, twenty-one".