1000020100101 has 64 divisors (see below), whose sum is σ = 1559408633856. Its totient is φ = 563847609600.

The previous prime is 1000020100099. The next prime is 1000020100171. The reversal of 1000020100101 is 1010010200001.

1000020100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000020100101 - 2¹ = 1000020100099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000020100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000020100171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109996566 + ... + 110005656.

It is an arithmetic number, because the mean of its divisors is an integer number (24365759904).

Almost surely, 2^{1000020100101} is an apocalyptic number.

1000020100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000020100101 is a deficient number, since it is larger than the sum of its proper divisors (559388533755).

1000020100101 is a wasteful number, since it uses less digits than its factorization.

1000020100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13082.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1000020100101 its reverse (1010010200001), we get a palindrome (2010030300102).

The spelling of 1000020100101 in words is "one trillion, twenty million, one hundred thousand, one hundred one".