10100111011102 has 64 divisors (see below), whose sum is σ = 18855404467200. Its totient is φ = 3959145388800.

The previous prime is 10100111011097. The next prime is 10100111011103. The reversal of 10100111011102 is 20111011100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100111011103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172324602 + ... + 172383202.

It is an arithmetic number, because the mean of its divisors is an integer number (294615694800).

Almost surely, 2^{10100111011102} is an apocalyptic number.

10100111011102 is a deficient number, since it is larger than the sum of its proper divisors (8755293456098).

10100111011102 is a wasteful number, since it uses less digits than its factorization.

10100111011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81001.

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

Adding to 10100111011102 its reverse (20111011100101), we get a palindrome (30211122111203).

The spelling of 10100111011102 in words is "ten trillion, one hundred billion, one hundred eleven million, eleven thousand, one hundred two".