10210001000221 has 8 divisors (see below), whose sum is σ = 11138229209088. Its totient is φ = 9281780508000.

The previous prime is 10210001000189. The next prime is 10210001000231. The reversal of 10210001000221 is 12200010001201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10210001000221 - 2⁵ = 10210001000189 is a prime.

It is a super-3 number, since 3×10210001000221³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10210001000198 and 10210001000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210001000231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1035441 + ... + 4635961.

It is an arithmetic number, because the mean of its divisors is an integer number (1392278651136).

Almost surely, 2^{10210001000221} is an apocalyptic number.

10210001000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10210001000221 is a deficient number, since it is larger than the sum of its proper divisors (928228208867).

10210001000221 is a wasteful number, since it uses less digits than its factorization.

10210001000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858323.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10210001000221 its reverse (12200010001201), we get a palindrome (22410011001422).

The spelling of 10210001000221 in words is "ten trillion, two hundred ten billion, one million, two hundred twenty-one", and thus it is an aban number.