102212102002021 has 64 divisors (see below), whose sum is σ = 118441324707840. Its totient is φ = 87347172640000.

The previous prime is 102212102002019. The next prime is 102212102002037. The reversal of 102212102002021 is 120200201212201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102212102002021 - 2¹ = 102212102002019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102212102001986 and 102212102002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212100002021) 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, 876072936 + ... + 876189598.

It is an arithmetic number, because the mean of its divisors is an integer number (1850645698560).

Almost surely, 2^{102212102002021} is an apocalyptic number.

102212102002021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212102002021 is a deficient number, since it is larger than the sum of its proper divisors (16229222705819).

102212102002021 is a wasteful number, since it uses less digits than its factorization.

102212102002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117258.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102212102002021 its reverse (120200201212201), we get a palindrome (222412303214222).

The spelling of 102212102002021 in words is "one hundred two trillion, two hundred twelve billion, one hundred two million, two thousand, twenty-one".