10100122011103 has 16 divisors (see below), whose sum is σ = 10353226830336. Its totient is φ = 9850309670880.

The previous prime is 10100122011079. The next prime is 10100122011107. The reversal of 10100122011103 is 30111022100101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100122011103 - 2³⁷ = 9962683057631 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 (10100122011107) 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, 5871525 + ... + 7394257.

It is an arithmetic number, because the mean of its divisors is an integer number (647076676896).

Almost surely, 2^{10100122011103} is an apocalyptic number.

10100122011103 is a deficient number, since it is larger than the sum of its proper divisors (253104819233).

10100122011103 is a wasteful number, since it uses less digits than its factorization.

10100122011103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523814.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10100122011103 its reverse (30111022100101), we get a palindrome (40211144111204).

The spelling of 10100122011103 in words is "ten trillion, one hundred billion, one hundred twenty-two million, eleven thousand, one hundred three".