100022001200 has 240 divisors, whose sum is σ = 267797118816. Its totient is φ = 35595878400.

The previous prime is 100022001197. The next prime is 100022001217. The reversal of 100022001200 is 2100220001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44003264 + ... + 44005536.

Almost surely, 2^100022001200 is an apocalyptic number.

100022001200 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 100022001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133898559408).

100022001200 is an abundant number, since it is smaller than the sum of its proper divisors (167775117616).

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

100022001200 is a wasteful number, since it uses less digits than its factorization.

100022001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100022001200 its reverse (2100220001), we get a palindrome (102122221201).

The spelling of 100022001200 in words is "one hundred billion, twenty-two million, one thousand, two hundred".