102111121301310 has 128 divisors (see below), whose sum is σ = 297054587934720. Its totient is φ = 24753873456000.

The previous prime is 102111121301239. The next prime is 102111121301311. The reversal of 102111121301310 is 13103121111201.

102111121301310 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 11 + 21 + 301 + 310 = 666.

It is a super-2 number, since 2×102111121301310² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111121301311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269786859 + ... + 270165081.

It is an arithmetic number, because the mean of its divisors is an integer number (2320738968240).

Almost surely, 2^{102111121301310} is an apocalyptic number.

102111121301310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102111121301310 is an abundant number, since it is smaller than the sum of its proper divisors (194943466633410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102111121301310 is a wasteful number, since it uses less digits than its factorization.

102111121301310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469151 (or 469145 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 102111121301310 its reverse (13103121111201), we get a palindrome (115214242412511).

The spelling of 102111121301310 in words is "one hundred two trillion, one hundred eleven billion, one hundred twenty-one million, three hundred one thousand, three hundred ten".