10001222122101 has 32 divisors (see below), whose sum is σ = 16162749658368. Its totient is φ = 5370033853440.

The previous prime is 10001222122069. The next prime is 10001222122117. The reversal of 10001222122101 is 10122122210001.

10001222122101 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 10001222122101 - 2⁵ = 10001222122069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001222122501) 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, 22631590 + ... + 23069271.

It is an arithmetic number, because the mean of its divisors is an integer number (505085926824).

Almost surely, 2^{10001222122101} is an apocalyptic number.

It is an amenable number.

10001222122101 is a deficient number, since it is larger than the sum of its proper divisors (6161527536267).

10001222122101 is a wasteful number, since it uses less digits than its factorization.

10001222122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45701501.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10001222122101 its reverse (10122122210001), we get a palindrome (20123344332102).

The spelling of 10001222122101 in words is "ten trillion, one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred one".