212011010001021 has 64 divisors (see below), whose sum is σ = 377888903700480. Its totient is φ = 102344911119360.

The previous prime is 212011010000941. The next prime is 212011010001053. The reversal of 212011010001021 is 120100010110212.

It is not a de Polignac number, because 212011010001021 - 2¹⁷ = 212011009869949 is a prime.

It is a super-4 number, since 4×212011010001021⁴ (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212011010000988 and 212011010001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011010001061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341386186 + ... + 342006651.

It is an arithmetic number, because the mean of its divisors is an integer number (5904514120320).

Almost surely, 2^{212011010001021} is an apocalyptic number.

212011010001021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212011010001021 is a deficient number, since it is larger than the sum of its proper divisors (165877893699459).

212011010001021 is a wasteful number, since it uses less digits than its factorization.

212011010001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683392954.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212011010001021 its reverse (120100010110212), we get a palindrome (332111020111233).

The spelling of 212011010001021 in words is "two hundred twelve trillion, eleven billion, ten million, one thousand, twenty-one".