100202312000 has 224 divisors, whose sum is σ = 284135145216. Its totient is φ = 34290432000.

The previous prime is 100202311997. The next prime is 100202312011. The reversal of 100202312000 is 213202001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37014647 + ... + 37017353.

Almost surely, 2^100202312000 is an apocalyptic number.

100202312000 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 100202312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142067572608).

100202312000 is an abundant number, since it is smaller than the sum of its proper divisors (183932833216).

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

100202312000 is an equidigital number, since it uses as much as digits as its factorization.

100202312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100202312000 its reverse (213202001), we get a palindrome (100415514001).

The spelling of 100202312000 in words is "one hundred billion, two hundred two million, three hundred twelve thousand".