2000022100101 has 12 divisors (see below), whose sum is σ = 2888948590060. Its totient is φ = 1333335245760.

The previous prime is 2000022100081. The next prime is 2000022100103. The reversal of 2000022100101 is 1010012200002.

It can be written as a sum of positive squares in 2 ways, for example, as 648322884225 + 1351699215876 = 805185^2 + 1162626^2 .

It is not a de Polignac number, because 2000022100101 - 2²² = 2000017905797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000022100103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27016 + ... + 2000193.

Almost surely, 2^{2000022100101} is an apocalyptic number.

It is an amenable number.

2000022100101 is a deficient number, since it is larger than the sum of its proper divisors (888926489959).

2000022100101 is a wasteful number, since it uses less digits than its factorization.

2000022100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136836 (or 2136833 counting only the distinct ones).

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

Adding to 2000022100101 its reverse (1010012200002), we get a palindrome (3010034300103).

Subtracting from 2000022100101 its reverse (1010012200002), we obtain a palindrome (990009900099).

The spelling of 2000022100101 in words is "two trillion, twenty-two million, one hundred thousand, one hundred one".