21111010212201 has 48 divisors (see below), whose sum is σ = 35605332008064. Its totient is φ = 10834518859776.

The previous prime is 21111010212143. The next prime is 21111010212211. The reversal of 21111010212201 is 10221201011112.

It is a happy number.

It is not a de Polignac number, because 21111010212201 - 2⁶ = 21111010212137 is a prime.

It is a super-2 number, since 2×21111010212201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21111010212211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27869400 + ... + 28616873.

It is an arithmetic number, because the mean of its divisors is an integer number (741777750168).

Almost surely, 2^{21111010212201} is an apocalyptic number.

21111010212201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21111010212201 is a deficient number, since it is larger than the sum of its proper divisors (14494321795863).

21111010212201 is a wasteful number, since it uses less digits than its factorization.

21111010212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56486370 (or 56486333 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21111010212201 its reverse (10221201011112), we get a palindrome (31332211223313).

The spelling of 21111010212201 in words is "twenty-one trillion, one hundred eleven billion, ten million, two hundred twelve thousand, two hundred one".