2102033211121 has 8 divisors (see below), whose sum is σ = 2110260408264. Its totient is φ = 2093806387200.

The previous prime is 2102033211077. The next prime is 2102033211203. The reversal of 2102033211121 is 1211123302012.

It can be written as a sum of positive squares in 4 ways, for example, as 1419243342400 + 682789868721 = 1191320^2 + 826311^2 .

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 2102033211121 - 2¹⁵ = 2102033178353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102033211221) 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, 18125721 + ... + 18241321.

It is an arithmetic number, because the mean of its divisors is an integer number (263782551033).

Almost surely, 2^{2102033211121} is an apocalyptic number.

It is an amenable number.

2102033211121 is a deficient number, since it is larger than the sum of its proper divisors (8227197143).

2102033211121 is a wasteful number, since it uses less digits than its factorization.

2102033211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186611.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2102033211121 its reverse (1211123302012), we get a palindrome (3313156513133).

The spelling of 2102033211121 in words is "two trillion, one hundred two billion, thirty-three million, two hundred eleven thousand, one hundred twenty-one".