100102221201000 has 1024 divisors, whose sum is σ = 353714319728640. Its totient is φ = 23436441600000.

The previous prime is 100102221200987. The next prime is 100102221201007. The reversal of 100102221201000 is 102122201001.

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 (100102221201007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7937684695 + ... + 7937697305.

It is an arithmetic number, because the mean of its divisors is an integer number (345424140360).

Almost surely, 2^{100102221201000} is an apocalyptic number.

100102221201000 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 100102221201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176857159864320).

100102221201000 is an abundant number, since it is smaller than the sum of its proper divisors (253612098527640).

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

100102221201000 is a wasteful number, since it uses less digits than its factorization.

100102221201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12843 (or 12829 counting only the distinct ones).

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

Adding to 100102221201000 its reverse (102122201001), we get a palindrome (100204343402001).

The spelling of 100102221201000 in words is "one hundred trillion, one hundred two billion, two hundred twenty-one million, two hundred one thousand".