101122121110001 has 8 divisors (see below), whose sum is σ = 102573212765184. Its totient is φ = 99679850681200.

The previous prime is 101122121109943. The next prime is 101122121110037. The reversal of 101122121110001 is 100011121221101.

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 101122121110001 - 2⁴⁶ = 30753376932337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122121119001) 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, 2205283505 + ... + 2205329358.

It is an arithmetic number, because the mean of its divisors is an integer number (12821651595648).

Almost surely, 2^{101122121110001} is an apocalyptic number.

It is an amenable number.

101122121110001 is a deficient number, since it is larger than the sum of its proper divisors (1451091655183).

101122121110001 is a wasteful number, since it uses less digits than its factorization.

101122121110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410613191.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101122121110001 its reverse (100011121221101), we get a palindrome (201133242331102).

The spelling of 101122121110001 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred ten thousand, one".