100102221210020 has 192 divisors, whose sum is σ = 220837330022400. Its totient is φ = 38065330060800.

The previous prime is 100102221210007. The next prime is 100102221210029. The reversal of 100102221210020 is 20012122201001.

It is a junction number, because it is equal to n+sod(n) for n = 100102221209977 and 100102221210004.

It is not an unprimeable number, because it can be changed into a prime (100102221210029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7441984295 + ... + 7441997745.

It is an arithmetic number, because the mean of its divisors is an integer number (1150194427200).

Almost surely, 2^{100102221210020} is an apocalyptic number.

100102221210020 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 100102221210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110418665011200).

100102221210020 is an abundant number, since it is smaller than the sum of its proper divisors (120735108812380).

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

100102221210020 is a wasteful number, since it uses less digits than its factorization.

100102221210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14298 (or 14296 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100102221210020 its reverse (20012122201001), we get a palindrome (120114343411021).

The spelling of 100102221210020 in words is "one hundred trillion, one hundred two billion, two hundred twenty-one million, two hundred ten thousand, twenty".