102123202000 has 40 divisors (see below), whose sum is σ = 246933907272. Its totient is φ = 40849280000.

The previous prime is 102123201979. The next prime is 102123202007. The reversal of 102123202000 is 202321201.

It can be written as a sum of positive squares in 4 ways, for example, as 16852193856 + 85271008144 = 129816^2 + 292012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123202007) 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, 25528801 + ... + 25532800.

Almost surely, 2^102123202000 is an apocalyptic number.

102123202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102123202000 is an abundant number, since it is smaller than the sum of its proper divisors (144810705272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102123202000 is an equidigital number, since it uses as much as digits as its factorization.

102123202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51061624 (or 51061608 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102123202000 its reverse (202321201), we get a palindrome (102325523201).

The spelling of 102123202000 in words is "one hundred two billion, one hundred twenty-three million, two hundred two thousand".