100001210212200 has 384 divisors, whose sum is σ = 343000631376000. Its totient is φ = 23899637760000.

The previous prime is 100001210212151. The next prime is 100001210212207. The reversal of 100001210212200 is 2212012100001.

It is a super-2 number, since 2×100001210212200² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100001210212207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154995876 + ... + 155639724.

It is an arithmetic number, because the mean of its divisors is an integer number (893230810875).

Almost surely, 2^{100001210212200} is an apocalyptic number.

100001210212200 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 100001210212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171500315688000).

100001210212200 is an abundant number, since it is smaller than the sum of its proper divisors (242999421163800).

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

100001210212200 is a wasteful number, since it uses less digits than its factorization.

100001210212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644213 (or 644204 counting only the distinct ones).

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

Adding to 100001210212200 its reverse (2212012100001), we get a palindrome (102213222312201).

The spelling of 100001210212200 in words is "one hundred trillion, one billion, two hundred ten million, two hundred twelve thousand, two hundred".