10111001101102 has 64 divisors (see below), whose sum is σ = 17254211420160. Its totient is φ = 4402071813600.

The previous prime is 10111001101087. The next prime is 10111001101111. The reversal of 10111001101102 is 20110110011101.

It is a super-2 number, since 2×10111001101102² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131953933 + ... + 132030535.

It is an arithmetic number, because the mean of its divisors is an integer number (269597053440).

Almost surely, 2^{10111001101102} is an apocalyptic number.

10111001101102 is a deficient number, since it is larger than the sum of its proper divisors (7143210319058).

10111001101102 is a wasteful number, since it uses less digits than its factorization.

10111001101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78629.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10111001101102 its reverse (20110110011101), we get a palindrome (30221111112203).

The spelling of 10111001101102 in words is "ten trillion, one hundred eleven billion, one million, one hundred one thousand, one hundred two".