102103122000213 has 24 divisors (see below), whose sum is σ = 160994309767200. Its totient is φ = 64486182313008.

The previous prime is 102103122000181. The next prime is 102103122000247. The reversal of 102103122000213 is 312000221301201.

102103122000213 is a `hidden beast` number, since 10 + 210 + 31 + 2 + 200 + 0 + 213 = 666.

It is not a de Polignac number, because 102103122000213 - 2⁵ = 102103122000181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102103122000263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11057296878 + ... + 11057306111.

It is an arithmetic number, because the mean of its divisors is an integer number (6708096240300).

Almost surely, 2^{102103122000213} is an apocalyptic number.

It is an amenable number.

102103122000213 is a deficient number, since it is larger than the sum of its proper divisors (58891187766987).

102103122000213 is an equidigital number, since it uses as much as digits as its factorization.

102103122000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22114603023 (or 22114603011 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102103122000213 its reverse (312000221301201), we get a palindrome (414103343301414).

The spelling of 102103122000213 in words is "one hundred two trillion, one hundred three billion, one hundred twenty-two million, two hundred thirteen", and thus it is an aban number.