10002111101021 has 16 divisors (see below), whose sum is σ = 10887426816000. Its totient is φ = 9133772372928.

The previous prime is 10002111101009. The next prime is 10002111101033. The reversal of 10002111101021 is 12010111120001.

It is an interprime number because it is at equal distance from previous prime (10002111101009) and next prime (10002111101033).

It is a cyclic number.

It is not a de Polignac number, because 10002111101021 - 2¹⁰ = 10002111099997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002111100993 and 10002111101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002111101051) 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, 8103191 + ... + 9255588.

It is an arithmetic number, because the mean of its divisors is an integer number (680464176000).

Almost surely, 2^{10002111101021} is an apocalyptic number.

It is an amenable number.

10002111101021 is a deficient number, since it is larger than the sum of its proper divisors (885315714979).

10002111101021 is a wasteful number, since it uses less digits than its factorization.

10002111101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17359268.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10002111101021 its reverse (12010111120001), we get a palindrome (22012222221022).

The spelling of 10002111101021 in words is "ten trillion, two billion, one hundred eleven million, one hundred one thousand, twenty-one".