102003313012100 has 144 divisors (see below), whose sum is σ = 234165514197888. Its totient is φ = 38487711144960.

The previous prime is 102003313012033. The next prime is 102003313012109. The reversal of 102003313012100 is 1210313300201.

It is not an unprimeable number, because it can be changed into a prime (102003313012109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1443400967 + ... + 1443471633.

It is an arithmetic number, because the mean of its divisors is an integer number (1626149404152).

Almost surely, 2^{102003313012100} is an apocalyptic number.

102003313012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102003313012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117082757098944).

102003313012100 is an abundant number, since it is smaller than the sum of its proper divisors (132162201185788).

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

102003313012100 is a wasteful number, since it uses less digits than its factorization.

102003313012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79374 (or 79367 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102003313012100 its reverse (1210313300201), we get a palindrome (103213626312301).

The spelling of 102003313012100 in words is "one hundred two trillion, three billion, three hundred thirteen million, twelve thousand, one hundred".