1003120032101 has 16 divisors (see below), whose sum is σ = 1098259259328. Its totient is φ = 908639760000.

The previous prime is 1003120032067. The next prime is 1003120032107. The reversal of 1003120032101 is 1012300213001.

It is a cyclic number.

It is not a de Polignac number, because 1003120032101 - 2²² = 1003115837797 is a prime.

It is a super-2 number, since 2×1003120032101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003120032107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18463226 + ... + 18517476.

It is an arithmetic number, because the mean of its divisors is an integer number (68641203708).

Almost surely, 2^{1003120032101} is an apocalyptic number.

1003120032101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003120032101 is a deficient number, since it is larger than the sum of its proper divisors (95139227227).

1003120032101 is a wasteful number, since it uses less digits than its factorization.

1003120032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60292.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1003120032101 its reverse (1012300213001), we get a palindrome (2015420245102).

The spelling of 1003120032101 in words is "one trillion, three billion, one hundred twenty million, thirty-two thousand, one hundred one".