2111010112002 has 128 divisors (see below), whose sum is σ = 4906278604800. Its totient is φ = 604496988480.

The previous prime is 2111010111989. The next prime is 2111010112009. The reversal of 2111010112002 is 2002110101112.

It is not an unprimeable number, because it can be changed into a prime (2111010112009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10787949 + ... + 10981887.

It is an arithmetic number, because the mean of its divisors is an integer number (38330301600).

Almost surely, 2^{2111010112002} is an apocalyptic number.

2111010112002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111010112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453139302400).

2111010112002 is an abundant number, since it is smaller than the sum of its proper divisors (2795268492798).

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

2111010112002 is a wasteful number, since it uses less digits than its factorization.

2111010112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194053 (or 194031 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2111010112002 its reverse (2002110101112), we get a palindrome (4113120213114).

The spelling of 2111010112002 in words is "two trillion, one hundred eleven billion, ten million, one hundred twelve thousand, two".