21201002022101 has 16 divisors (see below), whose sum is σ = 23193423360000. Its totient is φ = 19219426542000.

The previous prime is 21201002022071. The next prime is 21201002022121. The reversal of 21201002022101 is 10122020010212.

It is a cyclic number.

It is not a de Polignac number, because 21201002022101 - 2²⁶ = 21200934913237 is a prime.

It is a super-2 number, since 2×21201002022101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201002022121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286466900 + ... + 286540898.

It is an arithmetic number, because the mean of its divisors is an integer number (1449588960000).

Almost surely, 2^{21201002022101} is an apocalyptic number.

It is an amenable number.

21201002022101 is a deficient number, since it is larger than the sum of its proper divisors (1992421337899).

21201002022101 is a wasteful number, since it uses less digits than its factorization.

21201002022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146920.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21201002022101 its reverse (10122020010212), we get a palindrome (31323022032313).

The spelling of 21201002022101 in words is "twenty-one trillion, two hundred one billion, two million, twenty-two thousand, one hundred one".