10211212112100 has 144 divisors (see below), whose sum is σ = 30545082656256. Its totient is φ = 2631038976000.

The previous prime is 10211212112053. The next prime is 10211212112107. The reversal of 10211212112100 is 121121211201.

It is a happy number.

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 10211212112100.

It is not an unprimeable number, because it can be changed into a prime (10211212112107) 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 47 ways as a sum of consecutive naturals, for example, 5104842 + ... + 6817758.

Almost surely, 2^{10211212112100} is an apocalyptic number.

10211212112100 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 10211212112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272541328128).

10211212112100 is an abundant number, since it is smaller than the sum of its proper divisors (20333870544156).

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

10211212112100 is a wasteful number, since it uses less digits than its factorization.

10211212112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713606 (or 1713599 counting only the distinct ones).

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

Adding to 10211212112100 its reverse (121121211201), we get a palindrome (10332333323301).

The spelling of 10211212112100 in words is "ten trillion, two hundred eleven billion, two hundred twelve million, one hundred twelve thousand, one hundred".