152213000100 has 144 divisors (see below), whose sum is σ = 507772583808. Its totient is φ = 34483599360.

The previous prime is 152213000099. The next prime is 152213000101. The reversal of 152213000100 is 1000312251.

It is an interprime number because it is at equal distance from previous prime (152213000099) and next prime (152213000101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 152213000100.

It is not an unprimeable number, because it can be changed into a prime (152213000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83419 + ... + 558018.

Almost surely, 2^152213000100 is an apocalyptic number.

152213000100 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 152213000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253886291904).

152213000100 is an abundant number, since it is smaller than the sum of its proper divisors (355559583708).

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

152213000100 is a wasteful number, since it uses less digits than its factorization.

152213000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641574 (or 641567 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 152213000100 its reverse (1000312251), we get a palindrome (153213312351).

The spelling of 152213000100 in words is "one hundred fifty-two billion, two hundred thirteen million, one hundred", and thus it is an aban number.