100221110001210 has 256 divisors, whose sum is σ = 275951846338560. Its totient is φ = 23058217205760.

The previous prime is 100221110001167. The next prime is 100221110001277. The reversal of 100221110001210 is 12100011122001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 504719226 + ... + 504917754.

It is an arithmetic number, because the mean of its divisors is an integer number (1077936899760).

Almost surely, 2^{100221110001210} is an apocalyptic number.

100221110001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221110001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137975923169280).

100221110001210 is an abundant number, since it is smaller than the sum of its proper divisors (175730736337350).

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

100221110001210 is a wasteful number, since it uses less digits than its factorization.

100221110001210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199093.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100221110001210 its reverse (12100011122001), we get a palindrome (112321121123211).

The spelling of 100221110001210 in words is "one hundred trillion, two hundred twenty-one billion, one hundred ten million, one thousand, two hundred ten".