100121021002220 has 96 divisors (see below), whose sum is σ = 224112011760000. Its totient is φ = 37440383385600.

The previous prime is 100121021002187. The next prime is 100121021002253. The reversal of 100121021002220 is 22200120121001.

It is an interprime number because it is at equal distance from previous prime (100121021002187) and next prime (100121021002253).

It is a junction number, because it is equal to n+sod(n) for n = 100121021002195 and 100121021002204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834163652 + ... + 834283668.

It is an arithmetic number, because the mean of its divisors is an integer number (2334500122500).

Almost surely, 2^{100121021002220} is an apocalyptic number.

100121021002220 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 100121021002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112056005880000).

100121021002220 is an abundant number, since it is smaller than the sum of its proper divisors (123990990757780).

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

100121021002220 is a wasteful number, since it uses less digits than its factorization.

100121021002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136443 (or 136441 counting only the distinct ones).

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

Adding to 100121021002220 its reverse (22200120121001), we get a palindrome (122321141123221).

The spelling of 100121021002220 in words is "one hundred trillion, one hundred twenty-one billion, twenty-one million, two thousand, two hundred twenty".