101002133101 has 8 divisors (see below), whose sum is σ = 103624073784. Its totient is φ = 98387738880.

The previous prime is 101002133077. The next prime is 101002133147. The reversal of 101002133101 is 101331200101.

It can be written as a sum of positive squares in 4 ways, for example, as 13223850025 + 87778283076 = 114995^2 + 296274^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101002133101 - 2²³ = 100993744493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002136101) 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 7 ways as a sum of consecutive naturals, for example, 1859496 + ... + 1913041.

It is an arithmetic number, because the mean of its divisors is an integer number (12953009223).

Almost surely, 2^101002133101 is an apocalyptic number.

It is an amenable number.

101002133101 is a deficient number, since it is larger than the sum of its proper divisors (2621940683).

101002133101 is an equidigital number, since it uses as much as digits as its factorization.

101002133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773231.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101002133101 its reverse (101331200101), we get a palindrome (202333333202).

The spelling of 101002133101 in words is "one hundred one billion, two million, one hundred thirty-three thousand, one hundred one".