10201022761216 has 81 divisors (see below), whose sum is σ = 23687468874489. Its totient is φ = 4371713590272.

The previous prime is 10201022761199. The next prime is 10201022761229. The reversal of 10201022761216 is 61216722010201.

The square root of 10201022761216 is 3193904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8872296249600 + 1328726511616 = 2978640^2 + 1152704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 357702990 + ... + 357731506.

Almost surely, 2^{10201022761216} is an apocalyptic number.

10201022761216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10201022761216 is the 3193904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201022761216

10201022761216 is an abundant number, since it is smaller than the sum of its proper divisors (13486446113273).

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

10201022761216 is an frugal number, since it uses more digits than its factorization.

10201022761216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57064 (or 28526 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

Adding to 10201022761216 its reverse (61216722010201), we get a palindrome (71417744771417).

The spelling of 10201022761216 in words is "ten trillion, two hundred one billion, twenty-two million, seven hundred sixty-one thousand, two hundred sixteen".