12101211220100 has 72 divisors (see below), whose sum is σ = 26317455340680. Its totient is φ = 4829835985920.

The previous prime is 12101211220099. The next prime is 12101211220223. The reversal of 12101211220100 is 102211210121.

It can be written as a sum of positive squares in 12 ways, for example, as 9037563112516 + 3063648107584 = 3006254^2 + 1750328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90472472 + ... + 90606128.

It is an arithmetic number, because the mean of its divisors is an integer number (365520213065).

Almost surely, 2^{12101211220100} is an apocalyptic number.

12101211220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101211220100 is an abundant number, since it is smaller than the sum of its proper divisors (14216244120580).

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

12101211220100 is a wasteful number, since it uses less digits than its factorization.

12101211220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135657 (or 135650 counting only the distinct ones).

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

Adding to 12101211220100 its reverse (102211210121), we get a palindrome (12203422430221).

The spelling of 12101211220100 in words is "twelve trillion, one hundred one billion, two hundred eleven million, two hundred twenty thousand, one hundred".