102120121414213 has 16 divisors (see below), whose sum is σ = 122851599598720. Its totient is φ = 82924390011456.

The previous prime is 102120121414177. The next prime is 102120121414249. The reversal of 102120121414213 is 312414121021201.

It is an interprime number because it is at equal distance from previous prime (102120121414177) and next prime (102120121414249).

It is not a de Polignac number, because 102120121414213 - 2²¹ = 102120119317061 is a prime.

It is a super-2 number, since 2×102120121414213² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120121414253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65726395 + ... + 67262167.

It is an arithmetic number, because the mean of its divisors is an integer number (7678224974920).

Almost surely, 2^{102120121414213} is an apocalyptic number.

It is an amenable number.

102120121414213 is a deficient number, since it is larger than the sum of its proper divisors (20731478184507).

102120121414213 is a wasteful number, since it uses less digits than its factorization.

102120121414213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035756.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 102120121414213 its reverse (312414121021201), we get a palindrome (414534242435414).

The spelling of 102120121414213 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty-one million, four hundred fourteen thousand, two hundred thirteen".