100201010221200 has 480 divisors, whose sum is σ = 368968089419776. Its totient is φ = 22769941985280.

The previous prime is 100201010221183. The next prime is 100201010221217. The reversal of 100201010221200 is 2122010102001.

It is an interprime number because it is at equal distance from previous prime (100201010221183) and next prime (100201010221217).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1417977069 + ... + 1418047731.

Almost surely, 2^{100201010221200} is an apocalyptic number.

100201010221200 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 100201010221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184484044709888).

100201010221200 is an abundant number, since it is smaller than the sum of its proper divisors (268767079198576).

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

100201010221200 is a wasteful number, since it uses less digits than its factorization.

100201010221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71671 (or 71660 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100201010221200 its reverse (2122010102001), we get a palindrome (102323020323201).

The spelling of 100201010221200 in words is "one hundred trillion, two hundred one billion, ten million, two hundred twenty-one thousand, two hundred".