20101121121001 has 8 divisors (see below), whose sum is σ = 20107179573984. Its totient is φ = 20095063111200.

The previous prime is 20101121120999. The next prime is 20101121121083. The reversal of 20101121121001 is 10012112110102.

It is a happy number.

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 20101121121001 - 2¹ = 20101121120999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20101121121901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105526221 + ... + 105716533.

It is an arithmetic number, because the mean of its divisors is an integer number (2513397446748).

Almost surely, 2^{20101121121001} is an apocalyptic number.

It is an amenable number.

20101121121001 is a deficient number, since it is larger than the sum of its proper divisors (6058452983).

20101121121001 is a wasteful number, since it uses less digits than its factorization.

20101121121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221591.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 20101121121001 its reverse (10012112110102), we get a palindrome (30113233231103).

The spelling of 20101121121001 in words is "twenty trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, one".