100201112220000 has 960 divisors, whose sum is σ = 364318548346368. Its totient is φ = 23904000000000.

The previous prime is 100201112219977. The next prime is 100201112220067. The reversal of 100201112220000 is 22211102001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11132215500 + ... + 11132224500.

Almost surely, 2^{100201112220000} is an apocalyptic number.

100201112220000 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 100201112220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182159274173184).

100201112220000 is an abundant number, since it is smaller than the sum of its proper divisors (264117436126368).

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

100201112220000 is a wasteful number, since it uses less digits than its factorization.

100201112220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9313 (or 9290 counting only the distinct ones).

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

Adding to 100201112220000 its reverse (22211102001), we get a palindrome (100223323322001).

The spelling of 100201112220000 in words is "one hundred trillion, two hundred one billion, one hundred twelve million, two hundred twenty thousand".