10221102021012 has 288 divisors, whose sum is σ = 27395036497920. Its totient is φ = 2951847360000.

The previous prime is 10221102020981. The next prime is 10221102021023. The reversal of 10221102021012 is 21012020112201.

10221102021012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10221102020982 and 10221102021000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 454239762 + ... + 454262262.

Almost surely, 2^{10221102021012} is an apocalyptic number.

10221102021012 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 10221102021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13697518248960).

10221102021012 is an abundant number, since it is smaller than the sum of its proper divisors (17173934476908).

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

10221102021012 is a wasteful number, since it uses less digits than its factorization.

10221102021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22711 (or 22680 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221102021012 its reverse (21012020112201), we get a palindrome (31233122133213).

The spelling of 10221102021012 in words is "ten trillion, two hundred twenty-one billion, one hundred two million, twenty-one thousand, twelve".