10211000020221 has 128 divisors (see below), whose sum is σ = 19827196526592. Its totient is φ = 4495961088000.

The previous prime is 10211000020097. The next prime is 10211000020253. The reversal of 10211000020221 is 12202000011201.

It is not a de Polignac number, because 10211000020221 - 2¹⁵ = 10210999987453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211000020197 and 10211000020206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211000024221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 346125 + ... + 4532306.

It is an arithmetic number, because the mean of its divisors is an integer number (154899972864).

Almost surely, 2^{10211000020221} is an apocalyptic number.

10211000020221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211000020221 is a deficient number, since it is larger than the sum of its proper divisors (9616196506371).

10211000020221 is a wasteful number, since it uses less digits than its factorization.

10211000020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878523.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10211000020221 its reverse (12202000011201), we get a palindrome (22413000031422).

The spelling of 10211000020221 in words is "ten trillion, two hundred eleven billion, twenty thousand, two hundred twenty-one".