10212211112100 has 72 divisors (see below), whose sum is σ = 29834198197440. Its totient is φ = 2696816906880.

The previous prime is 10212211112063. The next prime is 10212211112107. The reversal of 10212211112100 is 121111221201.

It is a happy number.

10212211112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10212211112100.

It is not an unprimeable number, because it can be changed into a prime (10212211112107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165215235 + ... + 165277034.

Almost surely, 2^{10212211112100} is an apocalyptic number.

10212211112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212211112100 is an abundant number, since it is smaller than the sum of its proper divisors (19621987085340).

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

10212211112100 is a wasteful number, since it uses less digits than its factorization.

10212211112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330492389 (or 330492382 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10212211112100 its reverse (121111221201), we get a palindrome (10333322333301).

The spelling of 10212211112100 in words is "ten trillion, two hundred twelve billion, two hundred eleven million, one hundred twelve thousand, one hundred".