100101221200 has 240 divisors, whose sum is σ = 250835945472. Its totient is φ = 38361600000.

The previous prime is 100101221197. The next prime is 100101221237. The reversal of 100101221200 is 2122101001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369377065 + ... + 369377335.

Almost surely, 2^100101221200 is an apocalyptic number.

100101221200 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 100101221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125417972736).

100101221200 is an abundant number, since it is smaller than the sum of its proper divisors (150734724272).

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

100101221200 is a wasteful number, since it uses less digits than its factorization.

100101221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100101221200 its reverse (2122101001), we get a palindrome (102223322201).

The spelling of 100101221200 in words is "one hundred billion, one hundred one million, two hundred twenty-one thousand, two hundred".