10002121002111 has 64 divisors (see below), whose sum is σ = 15591229747200. Its totient is φ = 5585785920000.

The previous prime is 10002121001987. The next prime is 10002121002113. The reversal of 10002121002111 is 11120012120001.

It is not a de Polignac number, because 10002121002111 - 2¹⁰ = 10002121001087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002121002113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1010208261 + ... + 1010218161.

It is an arithmetic number, because the mean of its divisors is an integer number (243612964800).

Almost surely, 2^{10002121002111} is an apocalyptic number.

10002121002111 is a deficient number, since it is larger than the sum of its proper divisors (5589108745089).

10002121002111 is a wasteful number, since it uses less digits than its factorization.

10002121002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16120.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10002121002111 its reverse (11120012120001), we get a palindrome (21122133122112).

The spelling of 10002121002111 in words is "ten trillion, two billion, one hundred twenty-one million, two thousand, one hundred eleven".