103202011000 has 128 divisors (see below), whose sum is σ = 263622677760. Its totient is φ = 37502928000.

The previous prime is 103202010911. The next prime is 103202011007. The reversal of 103202011000 is 110202301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103202011007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27135099 + ... + 27138901.

It is an arithmetic number, because the mean of its divisors is an integer number (2059552170).

Almost surely, 2^103202011000 is an apocalyptic number.

103202011000 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 103202011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131811338880).

103202011000 is an abundant number, since it is smaller than the sum of its proper divisors (160420666760).

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

103202011000 is a wasteful number, since it uses less digits than its factorization.

103202011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6302 (or 6288 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 103202011000 its reverse (110202301), we get a palindrome (103312213301).

The spelling of 103202011000 in words is "one hundred three billion, two hundred two million, eleven thousand".