10212111220100 has 144 divisors (see below), whose sum is σ = 23382231358080. Its totient is φ = 3860636774400.

The previous prime is 10212111220079. The next prime is 10212111220123. The reversal of 10212111220100 is 102211121201.

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, 1765881809 + ... + 1765887591.

Almost surely, 2^{10212111220100} is an apocalyptic number.

10212111220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212111220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11691115679040).

10212111220100 is an abundant number, since it is smaller than the sum of its proper divisors (13170120137980).

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

10212111220100 is a wasteful number, since it uses less digits than its factorization.

10212111220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7870 (or 7863 counting only the distinct ones).

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

Adding to 10212111220100 its reverse (102211121201), we get a palindrome (10314322341301).

The spelling of 10212111220100 in words is "ten trillion, two hundred twelve billion, one hundred eleven million, two hundred twenty thousand, one hundred".