10000100222101 has 6 divisors (see below), whose sum is σ = 10991845698806. Its totient is φ = 9091000201800.

The previous prime is 10000100222053. The next prime is 10000100222107. The reversal of 10000100222101 is 10122200100001.

It can be written as a sum of positive squares in only one way, i.e., 6395835942001 + 3604264280100 = 2528999^2 + 1898490^2 .

It is not a de Polignac number, because 10000100222101 - 2¹⁵ = 10000100189333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000100222107) 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, 41322728070 + ... + 41322728311.

Almost surely, 2^{10000100222101} is an apocalyptic number.

10000100222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000100222101 is a deficient number, since it is larger than the sum of its proper divisors (991745476705).

10000100222101 is an equidigital number, since it uses as much as digits as its factorization.

10000100222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82645456403 (or 82645456392 counting only the distinct ones).

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

Adding to 10000100222101 its reverse (10122200100001), we get a palindrome (20122300322102).

It can be divided in two parts, 10000100 and 222101, that added together give a palindrome (10222201).

The spelling of 10000100222101 in words is "ten trillion, one hundred million, two hundred twenty-two thousand, one hundred one".