101002212101 has 16 divisors (see below), whose sum is σ = 117185642496. Its totient is φ = 85258117296.

The previous prime is 101002212023. The next prime is 101002212107. The reversal of 101002212101 is 101212200101.

It is a cyclic number.

It is not a de Polignac number, because 101002212101 - 2¹⁰ = 101002211077 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 (101002212107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1833380 + ... + 1887666.

It is an arithmetic number, because the mean of its divisors is an integer number (7324102656).

Almost surely, 2^101002212101 is an apocalyptic number.

It is an amenable number.

101002212101 is a deficient number, since it is larger than the sum of its proper divisors (16183430395).

101002212101 is an equidigital number, since it uses as much as digits as its factorization.

101002212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58328.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101002212101 its reverse (101212200101), we get a palindrome (202214412202).

The spelling of 101002212101 in words is "one hundred one billion, two million, two hundred twelve thousand, one hundred one".