100201100211220 has 192 divisors, whose sum is σ = 223078613345280. Its totient is φ = 37701035753472.

The previous prime is 100201100211181. The next prime is 100201100211263. The reversal of 100201100211220 is 22112001102001.

It is a super-2 number, since 2×100201100211220² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100201100211220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63298230549 + ... + 63298232131.

It is an arithmetic number, because the mean of its divisors is an integer number (1161867777840).

Almost surely, 2^{100201100211220} is an apocalyptic number.

100201100211220 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 100201100211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111539306672640).

100201100211220 is an abundant number, since it is smaller than the sum of its proper divisors (122877513134060).

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

100201100211220 is a wasteful number, since it uses less digits than its factorization.

100201100211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100201100211220 its reverse (22112001102001), we get a palindrome (122313101313221).

The spelling of 100201100211220 in words is "one hundred trillion, two hundred one billion, one hundred million, two hundred eleven thousand, two hundred twenty".