102120100011021 has 16 divisors (see below), whose sum is σ = 136669139186688. Its totient is φ = 67825898852400.

The previous prime is 102120100010983. The next prime is 102120100011047. The reversal of 102120100011021 is 120110001021201.

It is not a de Polignac number, because 102120100011021 - 2²³ = 102120091622413 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102120100010988 and 102120100011006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120100011071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40667445 + ... + 43105466.

It is an arithmetic number, because the mean of its divisors is an integer number (8541821199168).

Almost surely, 2^{102120100011021} is an apocalyptic number.

It is an amenable number.

102120100011021 is a deficient number, since it is larger than the sum of its proper divisors (34549039175667).

102120100011021 is a wasteful number, since it uses less digits than its factorization.

102120100011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83774432.

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

Adding to 102120100011021 its reverse (120110001021201), we get a palindrome (222230101032222).

The spelling of 102120100011021 in words is "one hundred two trillion, one hundred twenty billion, one hundred million, eleven thousand, twenty-one".