101010220012121 has 16 divisors (see below), whose sum is σ = 121518443535360. Its totient is φ = 82021723716240.

The previous prime is 101010220012103. The next prime is 101010220012147. The reversal of 101010220012121 is 121210022010101.

It is not a de Polignac number, because 101010220012121 - 2²² = 101010215817817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101010220012096 and 101010220012105.

It is not an unprimeable number, because it can be changed into a prime (101010220012321) 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, 654191 + ... + 14228436.

It is an arithmetic number, because the mean of its divisors is an integer number (7594902720960).

Almost surely, 2^{101010220012121} is an apocalyptic number.

It is an amenable number.

101010220012121 is a deficient number, since it is larger than the sum of its proper divisors (20508223523239).

101010220012121 is a wasteful number, since it uses less digits than its factorization.

101010220012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14933684.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101010220012121 its reverse (121210022010101), we get a palindrome (222220242022222).

The spelling of 101010220012121 in words is "one hundred one trillion, ten billion, two hundred twenty million, twelve thousand, one hundred twenty-one".