21121011120001 has 8 divisors (see below), whose sum is σ = 22745741533760. Its totient is φ = 19496286027792.

The previous prime is 21121011119959. The next prime is 21121011120007. The reversal of 21121011120001 is 10002111012112.

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 21121011120001 - 2⁹ = 21121011119489 is a prime.

It is a super-2 number, since 2×21121011120001² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21121011120007) 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, 11485210 + ... + 13196668.

It is an arithmetic number, because the mean of its divisors is an integer number (2843217691720).

Almost surely, 2^{21121011120001} is an apocalyptic number.

It is an amenable number.

21121011120001 is a deficient number, since it is larger than the sum of its proper divisors (1624730413759).

21121011120001 is a wasteful number, since it uses less digits than its factorization.

21121011120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660775.

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

Adding to 21121011120001 its reverse (10002111012112), we get a palindrome (31123122132113).

The spelling of 21121011120001 in words is "twenty-one trillion, one hundred twenty-one billion, eleven million, one hundred twenty thousand, one".