102120021202003 has 12 divisors (see below), whose sum is σ = 118794684995112. Its totient is φ = 87529967703360.

The previous prime is 102120021201983. The next prime is 102120021202009. The reversal of 102120021202003 is 300202120021201.

It is a happy number.

It is not a de Polignac number, because 102120021202003 - 2²⁹ = 102119484331091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102120021202009) 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 11 ways as a sum of consecutive naturals, for example, 14673225 + ... + 20482762.

It is an arithmetic number, because the mean of its divisors is an integer number (9899557082926).

Almost surely, 2^{102120021202003} is an apocalyptic number.

102120021202003 is a deficient number, since it is larger than the sum of its proper divisors (16674663793109).

102120021202003 is an equidigital number, since it uses as much as digits as its factorization.

102120021202003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35215282 (or 35215275 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102120021202003 its reverse (300202120021201), we get a palindrome (402322141223204).

The spelling of 102120021202003 in words is "one hundred two trillion, one hundred twenty billion, twenty-one million, two hundred two thousand, three".