10100100011106 has 16 divisors (see below), whose sum is σ = 23085942882624. Its totient is φ = 2885742860304.

The previous prime is 10100100011077. The next prime is 10100100011107. The reversal of 10100100011106 is 60111000100101.

It is a junction number, because it is equal to n+sod(n) for n = 10100100011091 and 10100100011100.

It is not an unprimeable number, because it can be changed into a prime (10100100011107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120239285805 + ... + 120239285888.

It is an arithmetic number, because the mean of its divisors is an integer number (1442871430164).

Almost surely, 2^{10100100011106} is an apocalyptic number.

10100100011106 is an abundant number, since it is smaller than the sum of its proper divisors (12985842871518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100100011106 is a wasteful number, since it uses less digits than its factorization.

10100100011106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240478571705.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10100100011106 its reverse (60111000100101), we get a palindrome (70211100111207).

The spelling of 10100100011106 in words is "ten trillion, one hundred billion, one hundred million, eleven thousand, one hundred six".