10211011012111 has 48 divisors (see below), whose sum is σ = 12808081063008. Its totient is φ = 8068777113600.

The previous prime is 10211011012051. The next prime is 10211011012127. The reversal of 10211011012111 is 11121011011201.

It is not a de Polignac number, because 10211011012111 - 2²⁷ = 10210876794383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10211011012091 and 10211011012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211011016111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2714970471 + ... + 2714974231.

It is an arithmetic number, because the mean of its divisors is an integer number (266835022146).

Almost surely, 2^{10211011012111} is an apocalyptic number.

10211011012111 is a deficient number, since it is larger than the sum of its proper divisors (2597070050897).

10211011012111 is a wasteful number, since it uses less digits than its factorization.

10211011012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8072 (or 8065 counting only the distinct ones).

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

Adding to 10211011012111 its reverse (11121011011201), we get a palindrome (21332022023312).

The spelling of 10211011012111 in words is "ten trillion, two hundred eleven billion, eleven million, twelve thousand, one hundred eleven".