2102121022211 has 16 divisors (see below), whose sum is σ = 2445251033088. Its totient is φ = 1769885056800.

The previous prime is 2102121022181. The next prime is 2102121022213. The reversal of 2102121022211 is 1122201212012.

It is not a de Polignac number, because 2102121022211 - 2¹⁴ = 2102121005827 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2102121022211.

It is not an unprimeable number, because it can be changed into a prime (2102121022213) 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, 7669040 + ... + 7938413.

It is an arithmetic number, because the mean of its divisors is an integer number (152828189568).

Almost surely, 2^{2102121022211} is an apocalyptic number.

2102121022211 is a deficient number, since it is larger than the sum of its proper divisors (343130010877).

2102121022211 is a wasteful number, since it uses less digits than its factorization.

2102121022211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15607802.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2102121022211 its reverse (1122201212012), we get a palindrome (3224322234223).

The spelling of 2102121022211 in words is "two trillion, one hundred two billion, one hundred twenty-one million, twenty-two thousand, two hundred eleven".