10202121110111 has 128 divisors (see below), whose sum is σ = 13166157312000. Its totient is φ = 7705248768000.

The previous prime is 10202121110107. The next prime is 10202121110113. The reversal of 10202121110111 is 11101112120201.

It is not a de Polignac number, because 10202121110111 - 2² = 10202121110107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202121110113) 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 127 ways as a sum of consecutive naturals, for example, 4418414225 + ... + 4418416533.

It is an arithmetic number, because the mean of its divisors is an integer number (102860604000).

Almost surely, 2^{10202121110111} is an apocalyptic number.

10202121110111 is a deficient number, since it is larger than the sum of its proper divisors (2964036201889).

10202121110111 is a wasteful number, since it uses less digits than its factorization.

10202121110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10202121110111 its reverse (11101112120201), we get a palindrome (21303233230312).

The spelling of 10202121110111 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred ten thousand, one hundred eleven".