212033020101 has 32 divisors (see below), whose sum is σ = 325906065408. Its totient is φ = 120112580160.

The previous prime is 212033020063. The next prime is 212033020117. The reversal of 212033020101 is 101020330212.

It is not a de Polignac number, because 212033020101 - 2¹⁸ = 212032757957 is a prime.

It is a super-2 number, since 2×212033020101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212033022101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1227066 + ... + 1389156.

It is an arithmetic number, because the mean of its divisors is an integer number (10184564544).

Almost surely, 2^212033020101 is an apocalyptic number.

212033020101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212033020101 is a deficient number, since it is larger than the sum of its proper divisors (113873045307).

212033020101 is a wasteful number, since it uses less digits than its factorization.

212033020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162641.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212033020101 its reverse (101020330212), we get a palindrome (313053350313).

The spelling of 212033020101 in words is "two hundred twelve billion, thirty-three million, twenty thousand, one hundred one".