2121002112101 has 32 divisors (see below), whose sum is σ = 2214779667456. Its totient is φ = 2028970944000.

The previous prime is 2121002112083. The next prime is 2121002112107. The reversal of 2121002112101 is 1012112001212.

It is a cyclic number.

It is not a de Polignac number, because 2121002112101 - 2⁶ = 2121002112037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121002112107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535844431 + ... + 1535845811.

It is an arithmetic number, because the mean of its divisors is an integer number (69211864608).

Almost surely, 2^{2121002112101} is an apocalyptic number.

It is an amenable number.

2121002112101 is a deficient number, since it is larger than the sum of its proper divisors (93777555355).

2121002112101 is a wasteful number, since it uses less digits than its factorization.

2121002112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973.

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

Adding to 2121002112101 its reverse (1012112001212), we get a palindrome (3133114113313).

The spelling of 2121002112101 in words is "two trillion, one hundred twenty-one billion, two million, one hundred twelve thousand, one hundred one".