10002102211211 has 16 divisors (see below), whose sum is σ = 11486122362240. Its totient is φ = 8613909645120.

The previous prime is 10002102211177. The next prime is 10002102211253. The reversal of 10002102211211 is 11211220120001.

It is a cyclic number.

It is not a de Polignac number, because 10002102211211 - 2³⁰ = 10001028469387 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002102211261) 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, 4416431 + ... + 6285623.

It is an arithmetic number, because the mean of its divisors is an integer number (717882647640).

Almost surely, 2^{10002102211211} is an apocalyptic number.

10002102211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10002102211211 is a deficient number, since it is larger than the sum of its proper divisors (1484020151029).

10002102211211 is a wasteful number, since it uses less digits than its factorization.

10002102211211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894826.

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

Adding to 10002102211211 its reverse (11211220120001), we get a palindrome (21213322331212).

The spelling of 10002102211211 in words is "ten trillion, two billion, one hundred two million, two hundred eleven thousand, two hundred eleven".