101121671101 has 8 divisors (see below), whose sum is σ = 110349202464. Its totient is φ = 91899915120.

The previous prime is 101121671033. The next prime is 101121671113. The reversal of 101121671101 is 101176121101.

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 101121671101 - 2⁹ = 101121670589 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 (101121671141) 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 7 ways as a sum of consecutive naturals, for example, 1407190 + ... + 1477303.

It is an arithmetic number, because the mean of its divisors is an integer number (13793650308).

Almost surely, 2^101121671101 is an apocalyptic number.

101121671101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101121671101 is a deficient number, since it is larger than the sum of its proper divisors (9227531363).

101121671101 is a wasteful number, since it uses less digits than its factorization.

101121671101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887691.

The product of its (nonzero) digits is 84, while the sum is 22.

Multiplying 101121671101 by its sum of digits (22), we get a palindrome (2224676764222).

Adding to 101121671101 its reverse (101176121101), we get a palindrome (202297792202).

The spelling of 101121671101 in words is "one hundred one billion, one hundred twenty-one million, six hundred seventy-one thousand, one hundred one".