101302211101 has 32 divisors (see below), whose sum is σ = 125071106048. Its totient is φ = 79900032960.

The previous prime is 101302211093. The next prime is 101302211107. The reversal of 101302211101 is 101112203101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101302211101 - 2³ = 101302211093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101302211107) 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 31 ways as a sum of consecutive naturals, for example, 57985510 + ... + 57987256.

It is an arithmetic number, because the mean of its divisors is an integer number (3908472064).

Almost surely, 2^101302211101 is an apocalyptic number.

It is an amenable number.

101302211101 is a deficient number, since it is larger than the sum of its proper divisors (23768894947).

101302211101 is a wasteful number, since it uses less digits than its factorization.

101302211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101302211101 its reverse (101112203101), we get a palindrome (202414414202).

The spelling of 101302211101 in words is "one hundred one billion, three hundred two million, two hundred eleven thousand, one hundred one".