101211100101 has 32 divisors (see below), whose sum is σ = 150488432640. Its totient is φ = 67228714800.

The previous prime is 101211100087. The next prime is 101211100157. The reversal of 101211100101 is 101001112101.

It is not a de Polignac number, because 101211100101 - 2¹³ = 101211091909 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211100181) 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 31 ways as a sum of consecutive naturals, for example, 11277546 + ... + 11286516.

It is an arithmetic number, because the mean of its divisors is an integer number (4702763520).

Almost surely, 2^101211100101 is an apocalyptic number.

It is an amenable number.

101211100101 is a deficient number, since it is larger than the sum of its proper divisors (49277332539).

101211100101 is a wasteful number, since it uses less digits than its factorization.

101211100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10454 (or 10448 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101211100101 its reverse (101001112101), we get a palindrome (202212212202).

The spelling of 101211100101 in words is "one hundred one billion, two hundred eleven million, one hundred thousand, one hundred one".