102303201000 has 1536 divisors, whose sum is σ = 457319116800. Its totient is φ = 18475776000.

The previous prime is 102303200947. The next prime is 102303201017. The reversal of 102303201000 is 102303201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 627626919 + ... + 627627081.

It is an arithmetic number, because the mean of its divisors is an integer number (297733800).

Almost surely, 2^102303201000 is an apocalyptic number.

102303201000 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 102303201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228659558400).

102303201000 is an abundant number, since it is smaller than the sum of its proper divisors (355015915800).

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

102303201000 is a wasteful number, since it uses less digits than its factorization.

102303201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 223 counting only the distinct ones).

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

Adding to 102303201000 its reverse (102303201), we get a palindrome (102405504201).

102303201000 divided by its reverse (102303201) gives a cube (1000 = 10³).

It can be divided in two parts, 102303 and 201000, that added together give a palindrome (303303).

The spelling of 102303201000 in words is "one hundred two billion, three hundred three million, two hundred one thousand".