101002211121 has 16 divisors (see below), whose sum is σ = 154852358144. Its totient is φ = 57361464144.

The previous prime is 101002211119. The next prime is 101002211159. The reversal of 101002211121 is 121112200101.

It is not a de Polignac number, because 101002211121 - 2¹ = 101002211119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101002211097 and 101002211106.

It is not an unprimeable number, because it can be changed into a prime (101002211111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14750041 + ... + 14756886.

It is an arithmetic number, because the mean of its divisors is an integer number (9678272384).

Almost surely, 2^101002211121 is an apocalyptic number.

It is an amenable number.

101002211121 is a deficient number, since it is larger than the sum of its proper divisors (53850147023).

101002211121 is a wasteful number, since it uses less digits than its factorization.

101002211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29507100.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101002211121 its reverse (121112200101), we get a palindrome (222114411222).

The spelling of 101002211121 in words is "one hundred one billion, two million, two hundred eleven thousand, one hundred twenty-one".