101100221123131 has 8 divisors (see below), whose sum is σ = 101940416202240. Its totient is φ = 100260715580928.

The previous prime is 101100221123117. The next prime is 101100221123147. The reversal of 101100221123131 is 131321122001101.

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 101100221123131 - 2⁷ = 101100221123003 is a prime.

It is a super-3 number, since 3×101100221123131³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100221123099 and 101100221123108.

It is not an unprimeable number, because it can be changed into a prime (101100221126131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172089766 + ... + 172676251.

It is an arithmetic number, because the mean of its divisors is an integer number (12742552025280).

Almost surely, 2^{101100221123131} is an apocalyptic number.

101100221123131 is a deficient number, since it is larger than the sum of its proper divisors (840195079109).

101100221123131 is a wasteful number, since it uses less digits than its factorization.

101100221123131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344768453.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 101100221123131 its reverse (131321122001101), we get a palindrome (232421343124232).

The spelling of 101100221123131 in words is "one hundred one trillion, one hundred billion, two hundred twenty-one million, one hundred twenty-three thousand, one hundred thirty-one".