2101120101009 has 36 divisors (see below), whose sum is σ = 3191151501876. Its totient is φ = 1331193237696.

The previous prime is 2101120100983. The next prime is 2101120101013. The reversal of 2101120101009 is 9001010211012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2016124529409 + 84995571600 = 1419903^2 + 291540^2 .

It is not a de Polignac number, because 2101120101009 - 2⁷ = 2101120100881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101120100982 and 2101120101000.

It is not an unprimeable number, because it can be changed into a prime (2101120101029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1090522 + ... + 2321955.

Almost surely, 2^{2101120101009} is an apocalyptic number.

It is an amenable number.

2101120101009 is a deficient number, since it is larger than the sum of its proper divisors (1090031400867).

2101120101009 is a wasteful number, since it uses less digits than its factorization.

2101120101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412606 (or 3412560 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 2101120101009 in words is "two trillion, one hundred one billion, one hundred twenty million, one hundred one thousand, nine".