101122101003 has 48 divisors (see below), whose sum is σ = 172829350400. Its totient is φ = 52530896880.

The previous prime is 101122100993. The next prime is 101122101007. The reversal of 101122101003 is 300101221101.

It is not a de Polignac number, because 101122101003 - 2⁸ = 101122100747 is a prime.

It is a super-2 number, since 2×101122101003² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101122101003.

It is not an unprimeable number, because it can be changed into a prime (101122101007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281575 + ... + 530592.

Almost surely, 2^101122101003 is an apocalyptic number.

101122101003 is a deficient number, since it is larger than the sum of its proper divisors (71707249397).

101122101003 is an equidigital number, since it uses as much as digits as its factorization.

101122101003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812213 (or 812188 counting only the distinct ones).

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

Adding to 101122101003 its reverse (300101221101), we get a palindrome (401223322104).

The spelling of 101122101003 in words is "one hundred one billion, one hundred twenty-two million, one hundred one thousand, three".