10021212353664 has 384 divisors, whose sum is σ = 29704843022400. Its totient is φ = 3240854323200.

The previous prime is 10021212353653. The next prime is 10021212353707. The reversal of 10021212353664 is 46635321212001.

10021212353664 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 21 + 23 + 536 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10021212353664² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8557823799 + ... + 8557824969.

Almost surely, 2^{10021212353664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021212353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14852421511200).

10021212353664 is an abundant number, since it is smaller than the sum of its proper divisors (19683630668736).

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

10021212353664 is a wasteful number, since it uses less digits than its factorization.

10021212353664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10021212353664 its reverse (46635321212001), we get a palindrome (56656533565665).

The spelling of 10021212353664 in words is "ten trillion, twenty-one billion, two hundred twelve million, three hundred fifty-three thousand, six hundred sixty-four".