100022003311229 has 16 divisors (see below), whose sum is σ = 100562662819584. Its totient is φ = 99482833128000.

The previous prime is 100022003311189. The next prime is 100022003311301. The reversal of 100022003311229 is 922113300220001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100022003311229 is a prime.

It is a super-3 number, since 3×100022003311229³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100022003311198 and 100022003311207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022003311729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442813139 + ... + 443038959.

It is an arithmetic number, because the mean of its divisors is an integer number (6285166426224).

Almost surely, 2^{100022003311229} is an apocalyptic number.

It is an amenable number.

100022003311229 is a deficient number, since it is larger than the sum of its proper divisors (540659508355).

100022003311229 is a wasteful number, since it uses less digits than its factorization.

100022003311229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229108.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 100022003311229 in words is "one hundred trillion, twenty-two billion, three million, three hundred eleven thousand, two hundred twenty-nine".