100221102102000 has 320 divisors, whose sum is σ = 352934796584448. Its totient is φ = 24265140480000.

The previous prime is 100221102101963. The next prime is 100221102102013. The reversal of 100221102102000 is 201201122001.

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 63 ways as a sum of consecutive naturals, for example, 50977260 + ... + 52906740.

Almost surely, 2^{100221102102000} is an apocalyptic number.

100221102102000 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 100221102102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176467398292224).

100221102102000 is an abundant number, since it is smaller than the sum of its proper divisors (252713694482448).

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

100221102102000 is a wasteful number, since it uses less digits than its factorization.

100221102102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930305 (or 1930289 counting only the distinct ones).

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

Adding to 100221102102000 its reverse (201201122001), we get a palindrome (100422303224001).

The spelling of 100221102102000 in words is "one hundred trillion, two hundred twenty-one billion, one hundred two million, one hundred two thousand".