100222002000 has 640 divisors, whose sum is σ = 370476288000. Its totient is φ = 25887859200.

The previous prime is 100222001959. The next prime is 100222002007. The reversal of 100222002000 is 200222001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222002007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264437811 + ... + 264438189.

It is an arithmetic number, because the mean of its divisors is an integer number (578869200).

Almost surely, 2^100222002000 is an apocalyptic number.

100222002000 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 100222002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144000).

100222002000 is an abundant number, since it is smaller than the sum of its proper divisors (270254286000).

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

100222002000 is a wasteful number, since it uses less digits than its factorization.

100222002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100222002000 its reverse (200222001), we get a palindrome (100422224001).

The spelling of 100222002000 in words is "one hundred billion, two hundred twenty-two million, two thousand".