100021212012100 has 18 divisors (see below), whose sum is σ = 217046030066474. Its totient is φ = 40008484804800.

The previous prime is 100021212012097. The next prime is 100021212012109. The reversal of 100021212012100 is 1210212120001.

It can be written as a sum of positive squares in 3 ways, for example, as 4275730670656 + 95745481341444 = 2067784^2 + 9784962^2 .

It is not an unprimeable number, because it can be changed into a prime (100021212012109) 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 5 ways as a sum of consecutive naturals, for example, 500106059961 + ... + 500106060160.

Almost surely, 2^{100021212012100} is an apocalyptic number.

100021212012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021212012100 is an abundant number, since it is smaller than the sum of its proper divisors (117024818054374).

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

100021212012100 is a wasteful number, since it uses less digits than its factorization.

100021212012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000212120135 (or 1000212120128 counting only the distinct ones).

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

Adding to 100021212012100 its reverse (1210212120001), we get a palindrome (101231424132101).

The spelling of 100021212012100 in words is "one hundred trillion, twenty-one billion, two hundred twelve million, twelve thousand, one hundred".