2001021102112 has 24 divisors (see below), whose sum is σ = 3945470261292. Its totient is φ = 998996908800.

The previous prime is 2001021102097. The next prime is 2001021102127. The reversal of 2001021102112 is 2112011201002.

It is an interprime number because it is at equal distance from previous prime (2001021102097) and next prime (2001021102127).

It can be written as a sum of positive squares in 2 ways, for example, as 1928421032976 + 72600069136 = 1388676^2 + 269444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2001021102092 and 2001021102101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47279839 + ... + 47322142.

Almost surely, 2^{2001021102112} is an apocalyptic number.

It is an amenable number.

2001021102112 is a deficient number, since it is larger than the sum of its proper divisors (1944449159180).

2001021102112 is an equidigital number, since it uses as much as digits as its factorization.

2001021102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94602652 (or 94602644 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2001021102112 its reverse (2112011201002), we get a palindrome (4113032303114).

The spelling of 2001021102112 in words is "two trillion, one billion, twenty-one million, one hundred two thousand, one hundred twelve".