10202122212111 has 96 divisors (see below), whose sum is σ = 15669246528000. Its totient is φ = 6386431968000.

The previous prime is 10202122212049. The next prime is 10202122212133. The reversal of 10202122212111 is 11121222120201.

10202122212111 is a `hidden beast` number, since 1 + 0 + 20 + 212 + 221 + 211 + 1 = 666.

It is not a de Polignac number, because 10202122212111 - 2²² = 10202118017807 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202122212211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2922405076 + ... + 2922408566.

It is an arithmetic number, because the mean of its divisors is an integer number (163221318000).

Almost surely, 2^{10202122212111} is an apocalyptic number.

10202122212111 is a deficient number, since it is larger than the sum of its proper divisors (5467124315889).

10202122212111 is a wasteful number, since it uses less digits than its factorization.

10202122212111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10202122212111 its reverse (11121222120201), we get a palindrome (21323344332312).

It can be divided in two parts, 1020212 and 2212111, that added together give a palindrome (3232323).

The spelling of 10202122212111 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, two hundred twelve thousand, one hundred eleven".