21101002010101 has 8 divisors (see below), whose sum is σ = 23507747597880. Its totient is φ = 18806198077632.

The previous prime is 21101002010089. The next prime is 21101002010113. The reversal of 21101002010101 is 10101020010112.

It is an interprime number because it is at equal distance from previous prime (21101002010089) and next prime (21101002010113).

It can be written as a sum of positive squares in 4 ways, for example, as 6320045160900 + 14780956849201 = 2513970^2 + 3844601^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 21101002010101 - 2¹⁷ = 21101001879029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101002014101) 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, 27985413430 + ... + 27985414183.

It is an arithmetic number, because the mean of its divisors is an integer number (2938468449735).

Almost surely, 2^{21101002010101} is an apocalyptic number.

It is an amenable number.

21101002010101 is a deficient number, since it is larger than the sum of its proper divisors (2406745587779).

21101002010101 is a wasteful number, since it uses less digits than its factorization.

21101002010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55970827655.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21101002010101 its reverse (10101020010112), we get a palindrome (31202022020213).

The spelling of 21101002010101 in words is "twenty-one trillion, one hundred one billion, two million, ten thousand, one hundred one".