10100111101102 has 8 divisors (see below), whose sum is σ = 16527454529112. Its totient is φ = 4590959591400.

The previous prime is 10100111101061. The next prime is 10100111101117. The reversal of 10100111101102 is 20110111100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×10100111101102² (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 (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229547979549 + ... + 229547979592.

It is an arithmetic number, because the mean of its divisors is an integer number (2065931816139).

Almost surely, 2^{10100111101102} is an apocalyptic number.

10100111101102 is a deficient number, since it is larger than the sum of its proper divisors (6427343428010).

10100111101102 is a wasteful number, since it uses less digits than its factorization.

10100111101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459095959154.

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

Adding to 10100111101102 its reverse (20110111100101), we get a palindrome (30210222201203).

The spelling of 10100111101102 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred one thousand, one hundred two".