10000022100101 has 8 divisors (see below), whose sum is σ = 10909821615264. Its totient is φ = 9090340351120.

The previous prime is 10000022100083. The next prime is 10000022100169. The reversal of 10000022100101 is 10100122000001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10000022100101 - 2³⁴ = 9982842230917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000022100191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29263946 + ... + 29603691.

It is an arithmetic number, because the mean of its divisors is an integer number (1363727701908).

Almost surely, 2^{10000022100101} is an apocalyptic number.

10000022100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000022100101 is a deficient number, since it is larger than the sum of its proper divisors (909799515163).

10000022100101 is a wasteful number, since it uses less digits than its factorization.

10000022100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58883091.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10000022100101 its reverse (10100122000001), we get a palindrome (20100144100102).

The spelling of 10000022100101 in words is "ten trillion, twenty-two million, one hundred thousand, one hundred one".