2101110011012 has 6 divisors (see below), whose sum is σ = 3676942519278. Its totient is φ = 1050555005504.

The previous prime is 2101110011009. The next prime is 2101110011051. The reversal of 2101110011012 is 2101100111012.

It can be written as a sum of positive squares in only one way, i.e., 1182299576896 + 918810434116 = 1087336^2 + 958546^2 .

It is a super-2 number, since 2×2101110011012² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101110010984 and 2101110011002.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262638751373 + ... + 262638751380.

It is an arithmetic number, because the mean of its divisors is an integer number (612823753213).

Almost surely, 2^{2101110011012} is an apocalyptic number.

It is an amenable number.

2101110011012 is a deficient number, since it is larger than the sum of its proper divisors (1575832508266).

2101110011012 is a wasteful number, since it uses less digits than its factorization.

2101110011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525277502757 (or 525277502755 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2101110011012 its reverse (2101100111012), we get a palindrome (4202210122024).

The spelling of 2101110011012 in words is "two trillion, one hundred one billion, one hundred ten million, eleven thousand, twelve".