100201222220000 has 480 divisors, whose sum is σ = 272999317054464. Its totient is φ = 35885203200000.

The previous prime is 100201222219963. The next prime is 100201222220003. The reversal of 100201222220000 is 22222102001.

It is a super-3 number, since 3×100201222220000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201222220003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17447537129 + ... + 17447542871.

Almost surely, 2^{100201222220000} is an apocalyptic number.

100201222220000 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 100201222220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136499658527232).

100201222220000 is an abundant number, since it is smaller than the sum of its proper divisors (172798094834464).

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

100201222220000 is a wasteful number, since it uses less digits than its factorization.

100201222220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6972 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100201222220000 its reverse (22222102001), we get a palindrome (100223444322001).

The spelling of 100201222220000 in words is "one hundred trillion, two hundred one billion, two hundred twenty-two million, two hundred twenty thousand".