100120021212100 has 18 divisors (see below), whose sum is σ = 217260446030474. Its totient is φ = 40048008484800.

The previous prime is 100120021212097. The next prime is 100120021212137. The reversal of 100120021212100 is 1212120021001.

It can be written as a sum of positive squares in 3 ways, for example, as 8739307637824 + 91380713574276 = 2956232^2 + 9559326^2 .

It is a super-2 number, since 2×100120021212100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500600105961 + ... + 500600106160.

Almost surely, 2^{100120021212100} is an apocalyptic number.

100120021212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120021212100 is an abundant number, since it is smaller than the sum of its proper divisors (117140424818374).

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

100120021212100 is a wasteful number, since it uses less digits than its factorization.

100120021212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001200212135 (or 1001200212128 counting only the distinct ones).

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

Adding to 100120021212100 its reverse (1212120021001), we get a palindrome (101332141233101).

The spelling of 100120021212100 in words is "one hundred trillion, one hundred twenty billion, twenty-one million, two hundred twelve thousand, one hundred".