101000212101 has 24 divisors (see below), whose sum is σ = 149699481984. Its totient is φ = 65588463360.

The previous prime is 101000212091. The next prime is 101000212123. The reversal of 101000212101 is 101212000101.

It is a happy number.

It is not a de Polignac number, because 101000212101 - 2⁶ = 101000212037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000212801) 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 23 ways as a sum of consecutive naturals, for example, 476556 + ... + 655061.

It is an arithmetic number, because the mean of its divisors is an integer number (6237478416).

Almost surely, 2^101000212101 is an apocalyptic number.

It is an amenable number.

101000212101 is a deficient number, since it is larger than the sum of its proper divisors (48699269883).

101000212101 is a wasteful number, since it uses less digits than its factorization.

101000212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131881 (or 1131878 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101000212101 its reverse (101212000101), we get a palindrome (202212212202).

The spelling of 101000212101 in words is "one hundred one billion, two hundred twelve thousand, one hundred one".