2001112102010 has 64 divisors (see below), whose sum is σ = 4219423488000. Its totient is φ = 683018654976.

The previous prime is 2001112101983. The next prime is 2001112102037. The reversal of 2001112102010 is 102012111002.

It is an interprime number because it is at equal distance from previous prime (2001112101983) and next prime (2001112102037).

It is a junction number, because it is equal to n+sod(n) for n = 2001112101982 and 2001112102000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543215 + ... + 2072994.

It is an arithmetic number, because the mean of its divisors is an integer number (65928492000).

Almost surely, 2^{2001112102010} is an apocalyptic number.

2001112102010 is an abundant number, since it is smaller than the sum of its proper divisors (2218311385990).

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

2001112102010 is a wasteful number, since it uses less digits than its factorization.

2001112102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616460 (or 2616446 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2001112102010 its reverse (102012111002), we get a palindrome (2103124213012).

The spelling of 2001112102010 in words is "two trillion, one billion, one hundred twelve million, one hundred two thousand, ten".