100101222101003 has 16 divisors (see below), whose sum is σ = 105470488007040. Its totient is φ = 94742070292800.

The previous prime is 100101222100991. The next prime is 100101222101039. The reversal of 100101222101003 is 300101222101001.

It is a cyclic number.

It is not a de Polignac number, because 100101222101003 - 2⁴⁰ = 99001710473227 is a prime.

It is a super-2 number, since 2×100101222101003² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100101222101053) 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, 99986276 + ... + 100982462.

It is an arithmetic number, because the mean of its divisors is an integer number (6591905500440).

Almost surely, 2^{100101222101003} is an apocalyptic number.

100101222101003 is a deficient number, since it is larger than the sum of its proper divisors (5369265906037).

100101222101003 is a wasteful number, since it uses less digits than its factorization.

100101222101003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001258.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100101222101003 its reverse (300101222101001), we get a palindrome (400202444202004).

The spelling of 100101222101003 in words is "one hundred trillion, one hundred one billion, two hundred twenty-two million, one hundred one thousand, three".