21202011102101 has 16 divisors (see below), whose sum is σ = 22711302851760. Its totient is φ = 19722537676800.

The previous prime is 21202011102091. The next prime is 21202011102113. The reversal of 21202011102101 is 10120111020212.

It can be written as a sum of positive squares in 8 ways, for example, as 161451276100 + 21040559826001 = 401810^2 + 4586999^2 .

It is a cyclic number.

It is not a de Polignac number, because 21202011102101 - 2⁶ = 21202011102037 is a prime.

It is a super-2 number, since 2×21202011102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202011102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9873896 + ... + 11827841.

It is an arithmetic number, because the mean of its divisors is an integer number (1419456428235).

Almost surely, 2^{21202011102101} is an apocalyptic number.

It is an amenable number.

21202011102101 is a deficient number, since it is larger than the sum of its proper divisors (1509291749659).

21202011102101 is a wasteful number, since it uses less digits than its factorization.

21202011102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21702424.

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

Adding to 21202011102101 its reverse (10120111020212), we get a palindrome (31322122122313).

The spelling of 21202011102101 in words is "twenty-one trillion, two hundred two billion, eleven million, one hundred two thousand, one hundred one".