10021102002011 has 16 divisors (see below), whose sum is σ = 10306870199808. Its totient is φ = 9738525477600.

The previous prime is 10021102001969. The next prime is 10021102002053. The reversal of 10021102002011 is 11020020112001.

It is an interprime number because it is at equal distance from previous prime (10021102001969) and next prime (10021102002053).

It is a cyclic number.

It is not a de Polignac number, because 10021102002011 - 2¹⁴ = 10021101985627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10021102001983 and 10021102002001.

It is not an unprimeable number, because it can be changed into a prime (10021102002091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4553996 + ... + 6386006.

It is an arithmetic number, because the mean of its divisors is an integer number (644179387488).

Almost surely, 2^{10021102002011} is an apocalyptic number.

10021102002011 is a deficient number, since it is larger than the sum of its proper divisors (285768197797).

10021102002011 is a wasteful number, since it uses less digits than its factorization.

10021102002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832882.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10021102002011 its reverse (11020020112001), we get a palindrome (21041122114012).

The spelling of 10021102002011 in words is "ten trillion, twenty-one billion, one hundred two million, two thousand, eleven".