102303033020100 has 432 divisors, whose sum is σ = 352448994695616. Its totient is φ = 24614032896000.

The previous prime is 102303033020063. The next prime is 102303033020117. The reversal of 102303033020100 is 1020330303201.

102303033020100 is a `hidden beast` number, since 1 + 0 + 2 + 303 + 0 + 330 + 20 + 10 + 0 = 666.

It is a super-2 number, since 2×102303033020100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11253216555 + ... + 11253225645.

It is an arithmetic number, because the mean of its divisors is an integer number (815854154388).

Almost surely, 2^{102303033020100} is an apocalyptic number.

102303033020100 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 102303033020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176224497347808).

102303033020100 is an abundant number, since it is smaller than the sum of its proper divisors (250145961675516).

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

102303033020100 is a wasteful number, since it uses less digits than its factorization.

102303033020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17556 (or 17546 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 102303033020100 its reverse (1020330303201), we get a palindrome (103323363323301).

The spelling of 102303033020100 in words is "one hundred two trillion, three hundred three billion, thirty-three million, twenty thousand, one hundred".