1000105101101 has 4 divisors (see below), whose sum is σ = 1000107522204. Its totient is φ = 1000102680000.

The previous prime is 1000105101097. The next prime is 1000105101131. The reversal of 1000105101101 is 1011015010001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 919922683876 + 80182417225 = 959126^2 + 283165^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000105101101 - 2² = 1000105101097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000105101131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 417950 + ... + 1474751.

It is an arithmetic number, because the mean of its divisors is an integer number (250026880551).

Almost surely, 2^{1000105101101} is an apocalyptic number.

It is an amenable number.

1000105101101 is a deficient number, since it is larger than the sum of its proper divisors (2421103).

1000105101101 is an equidigital number, since it uses as much as digits as its factorization.

1000105101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421102.

The product of its (nonzero) digits is 5, while the sum is 11.

The spelling of 1000105101101 in words is "one trillion, one hundred five million, one hundred one thousand, one hundred one".