30002100120003 has 32 divisors (see below), whose sum is σ = 43802369471232. Its totient is φ = 18115260963200.

The previous prime is 30002100119987. The next prime is 30002100120017.

It is a happy number.

30002100120003 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 30002100120003 - 2⁴ = 30002100119987 is a prime.

It is a super-2 number, since 2×30002100120003² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30002100121003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17301448 + ... + 18956378.

It is an arithmetic number, because the mean of its divisors is an integer number (1368824045976).

Almost surely, 2^{30002100120003} is an apocalyptic number.

30002100120003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30002100120003 is a deficient number, since it is larger than the sum of its proper divisors (13800269351229).

30002100120003 is a wasteful number, since it uses less digits than its factorization.

30002100120003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656995.

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 30002100 and 120003, that added together give a palindrome (30122103).

The spelling of 30002100120003 in words is "thirty trillion, two billion, one hundred million, one hundred twenty thousand, three".