100121212210100 has 144 divisors (see below), whose sum is σ = 218681316000000. Its totient is φ = 39787956848640.

The previous prime is 100121212210031. The next prime is 100121212210157. The reversal of 100121212210100 is 1012212121001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21536072576 + ... + 21536077224.

It is an arithmetic number, because the mean of its divisors is an integer number (1518620250000).

Almost surely, 2^{100121212210100} is an apocalyptic number.

100121212210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121212210100 is an abundant number, since it is smaller than the sum of its proper divisors (118560103789900).

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

100121212210100 is a wasteful number, since it uses less digits than its factorization.

100121212210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6810 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100121212210100 its reverse (1012212121001), we get a palindrome (101133424331101).

It can be divided in two parts, 10012121 and 2210100, that added together give a palindrome (12222221).

The spelling of 100121212210100 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twelve million, two hundred ten thousand, one hundred".