2101011121001 has 16 divisors (see below), whose sum is σ = 2265192353424. Its totient is φ = 1937197430784.

The previous prime is 2101011120991. The next prime is 2101011121037. The reversal of 2101011121001 is 1001211101012.

It can be written as a sum of positive squares in 8 ways, for example, as 21993186601 + 2079017934400 = 148301^2 + 1441880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101011121001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101011127001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49769435 + ... + 49811631.

It is an arithmetic number, because the mean of its divisors is an integer number (141574522089).

Almost surely, 2^{2101011121001} is an apocalyptic number.

It is an amenable number.

2101011121001 is a deficient number, since it is larger than the sum of its proper divisors (164181232423).

2101011121001 is a wasteful number, since it uses less digits than its factorization.

2101011121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46460.

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

Adding to 2101011121001 its reverse (1001211101012), we get a palindrome (3102222222013).

The spelling of 2101011121001 in words is "two trillion, one hundred one billion, eleven million, one hundred twenty-one thousand, one".