100020022120101 has 16 divisors (see below), whose sum is σ = 134245277400960. Its totient is φ = 66237404404800.

The previous prime is 100020022120097. The next prime is 100020022120177. The reversal of 100020022120101 is 101021220020001.

It is not a de Polignac number, because 100020022120101 - 2² = 100020022120097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020022120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28308055 + ... + 31644683.

It is an arithmetic number, because the mean of its divisors is an integer number (8390329837560).

Almost surely, 2^{100020022120101} is an apocalyptic number.

It is an amenable number.

100020022120101 is a deficient number, since it is larger than the sum of its proper divisors (34225255280859).

100020022120101 is a wasteful number, since it uses less digits than its factorization.

100020022120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402956.

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

Adding to 100020022120101 its reverse (101021220020001), we get a palindrome (201041242140102).

The spelling of 100020022120101 in words is "one hundred trillion, twenty billion, twenty-two million, one hundred twenty thousand, one hundred one".