100302213000 has 512 divisors, whose sum is σ = 355883673600. Its totient is φ = 23296896000.

The previous prime is 100302212981. The next prime is 100302213019. The reversal of 100302213000 is 312203001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100302212981) and next prime (100302213019).

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 127 ways as a sum of consecutive naturals, for example, 155990679 + ... + 155991321.

It is an arithmetic number, because the mean of its divisors is an integer number (695085300).

Almost surely, 2^100302213000 is an apocalyptic number.

100302213000 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 100302213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177941836800).

100302213000 is an abundant number, since it is smaller than the sum of its proper divisors (255581460600).

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

100302213000 is a wasteful number, since it uses less digits than its factorization.

100302213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 856 counting only the distinct ones).

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

Adding to 100302213000 its reverse (312203001), we get a palindrome (100614416001).

Subtracting from 100302213000 its reverse (312203001), we obtain a palindrome (99990009999).

The spelling of 100302213000 in words is "one hundred billion, three hundred two million, two hundred thirteen thousand".