10100103020101 has 16 divisors (see below), whose sum is σ = 10801245087360. Its totient is φ = 9417051316800.

The previous prime is 10100103020081. The next prime is 10100103020131. The reversal of 10100103020101 is 10102030100101.

It is a cyclic number.

It is not a de Polignac number, because 10100103020101 - 2²¹ = 10100100922949 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 (10100103020131) 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, 15437646 + ... + 16078591.

It is an arithmetic number, because the mean of its divisors is an integer number (675077817960).

Almost surely, 2^{10100103020101} is an apocalyptic number.

It is an amenable number.

10100103020101 is a deficient number, since it is larger than the sum of its proper divisors (701142067259).

10100103020101 is a wasteful number, since it uses less digits than its factorization.

10100103020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31516524.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10100103020101 its reverse (10102030100101), we get a palindrome (20202133120202).

The spelling of 10100103020101 in words is "ten trillion, one hundred billion, one hundred three million, twenty thousand, one hundred one".