101121021003 has 8 divisors (see below), whose sum is σ = 134830617408. Its totient is φ = 67412719304.

The previous prime is 101121020963. The next prime is 101121021007. The reversal of 101121021003 is 300120121101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101121021003 - 2⁸ = 101121020747 is a prime.

It is a super-4 number, since 4×101121021003⁴ (a number of 45 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101121021003.

It is not an unprimeable number, because it can be changed into a prime (101121021007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123801 + ... + 466442.

It is an arithmetic number, because the mean of its divisors is an integer number (16853827176).

Almost surely, 2^101121021003 is an apocalyptic number.

101121021003 is a deficient number, since it is larger than the sum of its proper divisors (33709596405).

101121021003 is an equidigital number, since it uses as much as digits as its factorization.

101121021003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647353.

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

Adding to 101121021003 its reverse (300120121101), we get a palindrome (401241142104).

The spelling of 101121021003 in words is "one hundred one billion, one hundred twenty-one million, twenty-one thousand, three".