101332310101 has 16 divisors (see below), whose sum is σ = 117956485440. Its totient is φ = 86076328320.

The previous prime is 101332310041. The next prime is 101332310141. The reversal of 101332310101 is 101013233101.

It is a cyclic number.

It is not a de Polignac number, because 101332310101 - 2¹³ = 101332301909 is a prime.

It is a super-4 number, since 4×101332310101⁴ (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101332310141) 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 15 ways as a sum of consecutive naturals, for example, 3305590 + ... + 3336103.

It is an arithmetic number, because the mean of its divisors is an integer number (7372280340).

Almost surely, 2^101332310101 is an apocalyptic number.

101332310101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101332310101 is a deficient number, since it is larger than the sum of its proper divisors (16624175339).

101332310101 is a wasteful number, since it uses less digits than its factorization.

101332310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6641796.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101332310101 its reverse (101013233101), we get a palindrome (202345543202).

The spelling of 101332310101 in words is "one hundred one billion, three hundred thirty-two million, three hundred ten thousand, one hundred one".