10021211200512 has 264 divisors, whose sum is σ = 30678182662400. Its totient is φ = 3141818523648.

The previous prime is 10021211200499. The next prime is 10021211200513. The reversal of 10021211200512 is 21500211212001.

10021211200512 is a `hidden beast` number, since 10 + 0 + 2 + 1 + 21 + 120 + 0 + 512 = 666.

10021211200512 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021211200513) 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, 24133593 + ... + 24545319.

Almost surely, 2^{10021211200512} is an apocalyptic number.

10021211200512 is a gapful number since it is divisible by the number (12) 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 10021211200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15339091331200).

10021211200512 is an abundant number, since it is smaller than the sum of its proper divisors (20656971461888).

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

10021211200512 is a wasteful number, since it uses less digits than its factorization.

10021211200512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411911 (or 411890 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 10021211200512 its reverse (21500211212001), we get a palindrome (31521422412513).

The spelling of 10021211200512 in words is "ten trillion, twenty-one billion, two hundred eleven million, two hundred thousand, five hundred twelve".