100121000221120 has 112 divisors (see below), whose sum is σ = 238900942771200. Its totient is φ = 39966471004160.

The previous prime is 100121000221111. The next prime is 100121000221129. The reversal of 100121000221120 is 21122000121001.

It is an interprime number because it is at equal distance from previous prime (100121000221111) and next prime (100121000221129).

It is a super-2 number, since 2×100121000221120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100121000221120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121000221129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3571781505 + ... + 3571809535.

Almost surely, 2^{100121000221120} is an apocalyptic number.

100121000221120 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 100121000221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119450471385600).

100121000221120 is an abundant number, since it is smaller than the sum of its proper divisors (138779942550080).

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

100121000221120 is a wasteful number, since it uses less digits than its factorization.

100121000221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50486 (or 50476 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100121000221120 its reverse (21122000121001), we get a palindrome (121243000342121).

The spelling of 100121000221120 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-one thousand, one hundred twenty".