100121221220020 has 384 divisors, whose sum is σ = 288437821056000. Its totient is φ = 28768429670400.

The previous prime is 100121221219969. The next prime is 100121221220159. The reversal of 100121221220020 is 20022122121001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100121221219976 and 100121221220003.

It is a congruent number.

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, 754307260 + ... + 754439980.

It is an arithmetic number, because the mean of its divisors is an integer number (751140159000).

Almost surely, 2^{100121221220020} is an apocalyptic number.

100121221220020 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 100121221220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144218910528000).

100121221220020 is an abundant number, since it is smaller than the sum of its proper divisors (188316599835980).

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

100121221220020 is a wasteful number, since it uses less digits than its factorization.

100121221220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133544 (or 133528 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100121221220020 its reverse (20022122121001), we get a palindrome (120143343341021).

The spelling of 100121221220020 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty thousand, twenty".