102100111210021 has 8 divisors (see below), whose sum is σ = 102796234156440. Its totient is φ = 101405784711168.

The previous prime is 102100111209953. The next prime is 102100111210049. The reversal of 102100111210021 is 120012111001201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47254089453921 + 54846021756100 = 6874161^2 + 7405810^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102100111210021 - 2¹⁹ = 102100110685733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100111209983 and 102100111210010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100111210921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448997836 + ... + 449225173.

It is an arithmetic number, because the mean of its divisors is an integer number (12849529269555).

Almost surely, 2^{102100111210021} is an apocalyptic number.

It is an amenable number.

102100111210021 is a deficient number, since it is larger than the sum of its proper divisors (696122946419).

102100111210021 is an equidigital number, since it uses as much as digits as its factorization.

102100111210021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898223783.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102100111210021 its reverse (120012111001201), we get a palindrome (222112222211222).

The spelling of 102100111210021 in words is "one hundred two trillion, one hundred billion, one hundred eleven million, two hundred ten thousand, twenty-one".