100000002122001 has 6 divisors (see below), whose sum is σ = 144444447509570. Its totient is φ = 66666668081328.

The previous prime is 100000002121889. The next prime is 100000002122003. The reversal of 100000002122001 is 100221200000001.

It can be written as a sum of positive squares in only one way, i.e., 53806978184976 + 46193023937025 = 7335324^2 + 6796545^2 .

It is not a de Polignac number, because 100000002122001 - 2¹⁵ = 100000002089233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11111111346889 = 100000002122001 / (1 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 2 + 1 + 2 + 2 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100000002122003) 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, 5555555673436 + ... + 5555555673453.

Almost surely, 2^{100000002122001} is an apocalyptic number.

It is an amenable number.

100000002122001 is a deficient number, since it is larger than the sum of its proper divisors (44444445387569).

100000002122001 is a wasteful number, since it uses less digits than its factorization.

100000002122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111111346895 (or 11111111346892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100000002122001 its reverse (100221200000001), we get a palindrome (200221202122002).

The spelling of 100000002122001 in words is "one hundred trillion, two million, one hundred twenty-two thousand, one".