10001222200101 has 32 divisors (see below), whose sum is σ = 15222203412480. Its totient is φ = 5785465737600.

The previous prime is 10001222200049. The next prime is 10001222200127. The reversal of 10001222200101 is 10100222210001.

10001222200101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10001222200101 - 2¹⁷ = 10001222069029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001222200001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66886731 + ... + 67036088.

It is an arithmetic number, because the mean of its divisors is an integer number (475693856640).

Almost surely, 2^{10001222200101} is an apocalyptic number.

10001222200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001222200101 is a deficient number, since it is larger than the sum of its proper divisors (5220981212379).

10001222200101 is a wasteful number, since it uses less digits than its factorization.

10001222200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133922937.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001222200101 its reverse (10100222210001), we get a palindrome (20101444410102).

The spelling of 10001222200101 in words is "ten trillion, one billion, two hundred twenty-two million, two hundred thousand, one hundred one".