101133122202101 has 8 divisors (see below), whose sum is σ = 110410560239808. Its totient is φ = 91869603804000.

The previous prime is 101133122202097. The next prime is 101133122202143. The reversal of 101133122202101 is 101202221331101.

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

It is not a de Polignac number, because 101133122202101 - 2² = 101133122202097 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 (101133122202191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3479894705 + ... + 3479923766.

It is an arithmetic number, because the mean of its divisors is an integer number (13801320029976).

Almost surely, 2^{101133122202101} is an apocalyptic number.

101133122202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101133122202101 is a deficient number, since it is larger than the sum of its proper divisors (9277438037707).

101133122202101 is a wasteful number, since it uses less digits than its factorization.

101133122202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6959819803.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101133122202101 its reverse (101202221331101), we get a palindrome (202335343533202).

The spelling of 101133122202101 in words is "one hundred one trillion, one hundred thirty-three billion, one hundred twenty-two million, two hundred two thousand, one hundred one".