10100211121111 has 4 divisors (see below), whose sum is σ = 10100321842672. Its totient is φ = 10100100399552.

The previous prime is 10100211121093. The next prime is 10100211121127. The reversal of 10100211121111 is 11112111200101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10100211121111 - 2⁷ = 10100211120983 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100211121091 and 10100211121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100211101111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55223835 + ... + 55406428.

It is an arithmetic number, because the mean of its divisors is an integer number (2525080460668).

Almost surely, 2^{10100211121111} is an apocalyptic number.

10100211121111 is a deficient number, since it is larger than the sum of its proper divisors (110721561).

10100211121111 is an equidigital number, since it uses as much as digits as its factorization.

10100211121111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110721560.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10100211121111 its reverse (11112111200101), we get a palindrome (21212322321212).

The spelling of 10100211121111 in words is "ten trillion, one hundred billion, two hundred eleven million, one hundred twenty-one thousand, one hundred eleven".