100021220121012 has 48 divisors (see below), whose sum is σ = 234577004121600. Its totient is φ = 33169843368288.

The previous prime is 100021220121007. The next prime is 100021220121077. The reversal of 100021220121012 is 210121022120001.

It is a junction number, because it is equal to n+sod(n) for n = 100021220120982 and 100021220121000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24371823 + ... + 28178505.

It is an arithmetic number, because the mean of its divisors is an integer number (4887020919200).

Almost surely, 2^{100021220121012} is an apocalyptic number.

100021220121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100021220121012 is an abundant number, since it is smaller than the sum of its proper divisors (134555784000588).

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

100021220121012 is a wasteful number, since it uses less digits than its factorization.

100021220121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817892 (or 3817890 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100021220121012 its reverse (210121022120001), we get a palindrome (310142242241013).

The spelling of 100021220121012 in words is "one hundred trillion, twenty-one billion, two hundred twenty million, one hundred twenty-one thousand, twelve".