101000010010103 has 16 divisors (see below), whose sum is σ = 102215093902656. Its totient is φ = 99788497689600.

The previous prime is 101000010010099. The next prime is 101000010010181. The reversal of 101000010010103 is 301010010000101.

It is a cyclic number.

It is not a de Polignac number, because 101000010010103 - 2² = 101000010010099 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 (101000010010183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945435950 + ... + 945542772.

It is an arithmetic number, because the mean of its divisors is an integer number (6388443368916).

Almost surely, 2^{101000010010103} is an apocalyptic number.

101000010010103 is a deficient number, since it is larger than the sum of its proper divisors (1215083892553).

101000010010103 is a wasteful number, since it uses less digits than its factorization.

101000010010103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123434.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 101000010010103 its reverse (301010010000101), we get a palindrome (402010020010204).

The spelling of 101000010010103 in words is "one hundred one trillion, ten million, ten thousand, one hundred three".