100222002120101 has 16 divisors (see below), whose sum is σ = 101511717350400. Its totient is φ = 98934270681840.

The previous prime is 100222002120083. The next prime is 100222002120109. The reversal of 100222002120101 is 101021200222001.

It is a cyclic number.

It is not a de Polignac number, because 100222002120101 - 2¹⁰ = 100222002119077 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 (100222002120109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654665396 + ... + 654818466.

It is an arithmetic number, because the mean of its divisors is an integer number (6344482334400).

Almost surely, 2^{100222002120101} is an apocalyptic number.

It is an amenable number.

100222002120101 is a deficient number, since it is larger than the sum of its proper divisors (1289715230299).

100222002120101 is a wasteful number, since it uses less digits than its factorization.

100222002120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159496.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100222002120101 its reverse (101021200222001), we get a palindrome (201243202342102).

The spelling of 100222002120101 in words is "one hundred trillion, two hundred twenty-two billion, two million, one hundred twenty thousand, one hundred one".