101011210101 has 48 divisors (see below), whose sum is σ = 157366809600. Its totient is φ = 62234275104.

The previous prime is 101011210051. The next prime is 101011210121. The reversal of 101011210101 is 101012110101.

It is not a de Polignac number, because 101011210101 - 2⁶ = 101011210037 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 (101011210121) 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 47 ways as a sum of consecutive naturals, for example, 2446890 + ... + 2487828.

It is an arithmetic number, because the mean of its divisors is an integer number (3278475200).

Almost surely, 2^101011210101 is an apocalyptic number.

It is an amenable number.

101011210101 is a deficient number, since it is larger than the sum of its proper divisors (56355599499).

101011210101 is a wasteful number, since it uses less digits than its factorization.

101011210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41318 (or 41315 counting only the distinct ones).

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

Adding to 101011210101 its reverse (101012110101), we get a palindrome (202023320202).

The spelling of 101011210101 in words is "one hundred one billion, eleven million, two hundred ten thousand, one hundred one".