2101102012002 has 48 divisors (see below), whose sum is σ = 4892065461792. Its totient is φ = 599849752320.

The previous prime is 2101102011973. The next prime is 2101102012003. The reversal of 2101102012002 is 2002102011012.

It is not an unprimeable number, because it can be changed into a prime (2101102012003) 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, 2388303 + ... + 3147410.

It is an arithmetic number, because the mean of its divisors is an integer number (101918030454).

Almost surely, 2^{2101102012002} is an apocalyptic number.

2101102012002 is an abundant number, since it is smaller than the sum of its proper divisors (2790963449790).

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

2101102012002 is a wasteful number, since it uses less digits than its factorization.

2101102012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537023 (or 5537016 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2101102012002 its reverse (2002102011012), we get a palindrome (4103204023014).

The spelling of 2101102012002 in words is "two trillion, one hundred one billion, one hundred two million, twelve thousand, two".