10221002121101 has 4 divisors (see below), whose sum is σ = 10470294855804. Its totient is φ = 9971709386400.

The previous prime is 10221002121091. The next prime is 10221002121131. The reversal of 10221002121101 is 10112120012201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5681077017001 + 4539925104100 = 2383501^2 + 2130710^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221002121101 - 2⁶ = 10221002121037 is a prime.

It is a super-3 number, since 3×10221002121101³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221002121131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124646367290 + ... + 124646367371.

It is an arithmetic number, because the mean of its divisors is an integer number (2617573713951).

Almost surely, 2^{10221002121101} is an apocalyptic number.

It is an amenable number.

10221002121101 is a deficient number, since it is larger than the sum of its proper divisors (249292734703).

10221002121101 is an equidigital number, since it uses as much as digits as its factorization.

10221002121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249292734702.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10221002121101 its reverse (10112120012201), we get a palindrome (20333122133302).

The spelling of 10221002121101 in words is "ten trillion, two hundred twenty-one billion, two million, one hundred twenty-one thousand, one hundred one".