100022110002001 has 6 divisors (see below), whose sum is σ = 109941658101506. Its totient is φ = 90929190910800.

The previous prime is 100022110001981. The next prime is 100022110002019. The reversal of 100022110002001 is 100200011220001.

It can be written as a sum of positive squares in only one way, i.e., 99486760233025 + 535349768976 = 9974305^2 + 731676^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100022110002001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100022110002071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413314504020 + ... + 413314504261.

Almost surely, 2^{100022110002001} is an apocalyptic number.

100022110002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100022110002001 is a deficient number, since it is larger than the sum of its proper divisors (9919548099505).

100022110002001 is an equidigital number, since it uses as much as digits as its factorization.

100022110002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826629008303 (or 826629008292 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100022110002001 its reverse (100200011220001), we get a palindrome (200222121222002).

The spelling of 100022110002001 in words is "one hundred trillion, twenty-two billion, one hundred ten million, two thousand, one".