10002101000103 has 16 divisors (see below), whose sum is σ = 15689570196960. Its totient is φ = 6275828078208.

The previous prime is 10002101000093. The next prime is 10002101000147. The reversal of 10002101000103 is 30100010120001.

It is not a de Polignac number, because 10002101000103 - 2¹⁷ = 10002100869031 is a prime.

It is a super-2 number, since 2×10002101000103² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002101000803) 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, 10895534400 + ... + 10895535317.

It is an arithmetic number, because the mean of its divisors is an integer number (980598137310).

Almost surely, 2^{10002101000103} is an apocalyptic number.

10002101000103 is a deficient number, since it is larger than the sum of its proper divisors (5687469196857).

10002101000103 is a wasteful number, since it uses less digits than its factorization.

10002101000103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21791069743 (or 21791069737 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10002101000103 its reverse (30100010120001), we get a palindrome (40102111120104).

The spelling of 10002101000103 in words is "ten trillion, two billion, one hundred one million, one hundred three", and thus it is an aban number.