10211002101111 has 16 divisors (see below), whose sum is σ = 15561021977600. Its totient is φ = 5834333445408.

The previous prime is 10211002101109. The next prime is 10211002101119. The reversal of 10211002101111 is 11110120011201.

It is not a de Polignac number, because 10211002101111 - 2¹ = 10211002101109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211002101119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21631696 + ... + 22098693.

It is an arithmetic number, because the mean of its divisors is an integer number (972563873600).

Almost surely, 2^{10211002101111} is an apocalyptic number.

10211002101111 is a deficient number, since it is larger than the sum of its proper divisors (5350019876489).

10211002101111 is a wasteful number, since it uses less digits than its factorization.

10211002101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43741518.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10211002101111 its reverse (11110120011201), we get a palindrome (21321122112312).

The spelling of 10211002101111 in words is "ten trillion, two hundred eleven billion, two million, one hundred one thousand, one hundred eleven".