3012102101120 has 128 divisors (see below), whose sum is σ = 8245234823040. Its totient is φ = 1030745309184.

The previous prime is 3012102101101. The next prime is 3012102101131. The reversal of 3012102101120 is 211012012103.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 3012102101095 and 3012102101104.

It is an unprimeable number.

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, 1700264 + ... + 2985816.

It is an arithmetic number, because the mean of its divisors is an integer number (64415897055).

Almost surely, 2^{3012102101120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012102101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122617411520).

3012102101120 is an abundant number, since it is smaller than the sum of its proper divisors (5233132721920).

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

3012102101120 is a wasteful number, since it uses less digits than its factorization.

3012102101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286102 (or 1286090 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 3012102101120 its reverse (211012012103), we get a palindrome (3223114113223).

The spelling of 3012102101120 in words is "three trillion, twelve billion, one hundred two million, one hundred one thousand, one hundred twenty".