10002101120211 has 16 divisors (see below), whose sum is σ = 13696666967808. Its totient is φ = 6487803871200.

The previous prime is 10002101120159. The next prime is 10002101120237. The reversal of 10002101120211 is 11202110120001.

It is not a de Polignac number, because 10002101120211 - 2²⁵ = 10002067565779 is a prime.

It is a super-2 number, since 2×10002101120211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10002101520211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23909716 + ... + 24324446.

It is an arithmetic number, because the mean of its divisors is an integer number (856041685488).

Almost surely, 2^{10002101120211} is an apocalyptic number.

10002101120211 is a deficient number, since it is larger than the sum of its proper divisors (3694565847597).

10002101120211 is a wasteful number, since it uses less digits than its factorization.

10002101120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632042.

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

Adding to 10002101120211 its reverse (11202110120001), we get a palindrome (21204211240212).

The spelling of 10002101120211 in words is "ten trillion, two billion, one hundred one million, one hundred twenty thousand, two hundred eleven".