102100200012021 has 48 divisors (see below), whose sum is σ = 141463815805440. Its totient is φ = 65488868352000.

The previous prime is 102100200011963. The next prime is 102100200012047. The reversal of 102100200012021 is 120210002001201.

It is not a de Polignac number, because 102100200012021 - 2¹⁴ = 102100199995637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100200011988 and 102100200012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100200012091) 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, 4841385445 + ... + 4841406533.

It is an arithmetic number, because the mean of its divisors is an integer number (2947162829280).

Almost surely, 2^{102100200012021} is an apocalyptic number.

It is an amenable number.

102100200012021 is a deficient number, since it is larger than the sum of its proper divisors (39363615793419).

102100200012021 is a wasteful number, since it uses less digits than its factorization.

102100200012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34398 (or 34357 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102100200012021 its reverse (120210002001201), we get a palindrome (222310202013222).

The spelling of 102100200012021 in words is "one hundred two trillion, one hundred billion, two hundred million, twelve thousand, twenty-one".