3100102122112 has 64 divisors (see below), whose sum is σ = 6215308473600. Its totient is φ = 1540185974784.

The previous prime is 3100102122071. The next prime is 3100102122113. The reversal of 3100102122112 is 2112212010013.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3100102122112² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3100102122113) 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 7 ways as a sum of consecutive naturals, for example, 106120564 + ... + 106149772.

It is an arithmetic number, because the mean of its divisors is an integer number (97114194900).

Almost surely, 2^{3100102122112} is an apocalyptic number.

3100102122112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100102122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107654236800).

3100102122112 is an abundant number, since it is smaller than the sum of its proper divisors (3115206351488).

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

3100102122112 is a wasteful number, since it uses less digits than its factorization.

3100102122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34473 (or 34461 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 3100102122112 its reverse (2112212010013), we get a palindrome (5212314132125).

The spelling of 3100102122112 in words is "three trillion, one hundred billion, one hundred two million, one hundred twenty-two thousand, one hundred twelve".