10201111020111 has 16 divisors (see below), whose sum is σ = 14838039623808. Its totient is φ = 6182466544800.

The previous prime is 10201111020103. The next prime is 10201111020161. The reversal of 10201111020111 is 11102011110201.

It is not a de Polignac number, because 10201111020111 - 2³ = 10201111020103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201111020161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10766676 + ... + 11675766.

It is an arithmetic number, because the mean of its divisors is an integer number (927377476488).

Almost surely, 2^{10201111020111} is an apocalyptic number.

10201111020111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10201111020111 is a deficient number, since it is larger than the sum of its proper divisors (4636928603697).

10201111020111 is a wasteful number, since it uses less digits than its factorization.

10201111020111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249142.

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

Adding to 10201111020111 its reverse (11102011110201), we get a palindrome (21303122130312).

It can be divided in two parts, 102011110201 and 11, that multiplied together give a palindrome (1122122212211).

The spelling of 10201111020111 in words is "ten trillion, two hundred one billion, one hundred eleven million, twenty thousand, one hundred eleven".