2121011101001 has 8 divisors (see below), whose sum is σ = 2285173404864. Its totient is φ = 1956992740560.

The previous prime is 2121011100931. The next prime is 2121011101021. The reversal of 2121011101001 is 1001011101212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-2121011101001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121011101021) 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, 35955245 + ... + 36014186.

It is an arithmetic number, because the mean of its divisors is an integer number (285646675608).

Almost surely, 2^{2121011101001} is an apocalyptic number.

It is an amenable number.

2121011101001 is a deficient number, since it is larger than the sum of its proper divisors (164162303863).

2121011101001 is a wasteful number, since it uses less digits than its factorization.

2121011101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71971711.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2121011101001 its reverse (1001011101212), we get a palindrome (3122022202213).

The spelling of 2121011101001 in words is "two trillion, one hundred twenty-one billion, eleven million, one hundred one thousand, one".