10121200002111 has 128 divisors (see below), whose sum is σ = 15464250224640. Its totient is φ = 5834059776000.

The previous prime is 10121200002091. The next prime is 10121200002113. The reversal of 10121200002111 is 11120000212101.

10121200002111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10121200002111 - 2⁶ = 10121200002047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121200002113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6806455210 + ... + 6806456696.

It is an arithmetic number, because the mean of its divisors is an integer number (120814454880).

Almost surely, 2^{10121200002111} is an apocalyptic number.

10121200002111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121200002111 is a deficient number, since it is larger than the sum of its proper divisors (5343050222529).

10121200002111 is a wasteful number, since it uses less digits than its factorization.

10121200002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305.

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

Adding to 10121200002111 its reverse (11120000212101), we get a palindrome (21241200214212).

It can be divided in two parts, 10 and 121200002111, that added together give a palindrome (121200002121).

The spelling of 10121200002111 in words is "ten trillion, one hundred twenty-one billion, two hundred million, two thousand, one hundred eleven".