101122101101001 has 8 divisors (see below), whose sum is σ = 137373420363840. Its totient is φ = 66142757952752.

The previous prime is 101122101100991. The next prime is 101122101101009. The reversal of 101122101101001 is 100101101221101.

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 101122101101001 - 2²² = 101122096906697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101122101101009) 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, 317994028461 + ... + 317994028778.

It is an arithmetic number, because the mean of its divisors is an integer number (17171677545480).

Almost surely, 2^{101122101101001} is an apocalyptic number.

It is an amenable number.

101122101101001 is a deficient number, since it is larger than the sum of its proper divisors (36251319262839).

101122101101001 is an equidigital number, since it uses as much as digits as its factorization.

101122101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635988057295.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101122101101001 its reverse (100101101221101), we get a palindrome (201223202322102).

The spelling of 101122101101001 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred one million, one hundred one thousand, one".