2001101122121 has 8 divisors (see below), whose sum is σ = 2119558277664. Its totient is φ = 1882726780480.

The previous prime is 2001101122103. The next prime is 2001101122171. The reversal of 2001101122121 is 1212211011002.

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 2001101122121 - 2³⁸ = 1726223215177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001101122096 and 2001101122105.

It is not an unprimeable number, because it can be changed into a prime (2001101122171) 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, 20653715 + ... + 20750376.

It is an arithmetic number, because the mean of its divisors is an integer number (264944784708).

Almost surely, 2^{2001101122121} is an apocalyptic number.

It is an amenable number.

2001101122121 is a deficient number, since it is larger than the sum of its proper divisors (118457155543).

2001101122121 is a wasteful number, since it uses less digits than its factorization.

2001101122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41406951.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2001101122121 its reverse (1212211011002), we get a palindrome (3213312133123).

It can be divided in two parts, 200110 and 1122121, that added together give a palindrome (1322231).

The spelling of 2001101122121 in words is "two trillion, one billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".