10212021101100 has 432 divisors, whose sum is σ = 38015071025568. Its totient is φ = 2096389693440.

The previous prime is 10212021101077. The next prime is 10212021101123. The reversal of 10212021101100 is 110112021201.

10212021101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10212021101077) and next prime (10212021101123).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6348564 + ... + 7792836.

Almost surely, 2^{10212021101100} is an apocalyptic number.

10212021101100 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 10212021101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19007535512784).

10212021101100 is an abundant number, since it is smaller than the sum of its proper divisors (27803049924468).

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

10212021101100 is a wasteful number, since it uses less digits than its factorization.

10212021101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444354 (or 1444340 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10212021101100 its reverse (110112021201), we get a palindrome (10322133122301).

It can be divided in two parts, 10212021101 and 100, that added together give a palindrome (10212021201).

The spelling of 10212021101100 in words is "ten trillion, two hundred twelve billion, twenty-one million, one hundred one thousand, one hundred".