100121021220000 has 480 divisors, whose sum is σ = 358680895372800. Its totient is φ = 24244133760000.

The previous prime is 100121021219977. The next prime is 100121021220083. The reversal of 100121021220000 is 22120121001.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 582694101 + ... + 582865899.

It is an arithmetic number, because the mean of its divisors is an integer number (747251865360).

Almost surely, 2^{100121021220000} is an apocalyptic number.

100121021220000 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 100121021220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179340447686400).

100121021220000 is an abundant number, since it is smaller than the sum of its proper divisors (258559874152800).

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

100121021220000 is a wasteful number, since it uses less digits than its factorization.

100121021220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172726 (or 172703 counting only the distinct ones).

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

Adding to 100121021220000 its reverse (22120121001), we get a palindrome (100143141341001).

The spelling of 100121021220000 in words is "one hundred trillion, one hundred twenty-one billion, twenty-one million, two hundred twenty thousand".