2111121001001 has 16 divisors (see below), whose sum is σ = 2157379660800. Its totient is φ = 2065109574528.

The previous prime is 2111121000983. The next prime is 2111121001037. The reversal of 2111121001001 is 1001001211112.

It is a cyclic number.

It is not a de Polignac number, because 2111121001001 - 2²² = 2111116806697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111121003001) 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, 24122360 + ... + 24209718.

It is an arithmetic number, because the mean of its divisors is an integer number (134836228800).

Almost surely, 2^{2111121001001} is an apocalyptic number.

It is an amenable number.

2111121001001 is a deficient number, since it is larger than the sum of its proper divisors (46258659799).

2111121001001 is an equidigital number, since it uses as much as digits as its factorization.

2111121001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88768.

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

Adding to 2111121001001 its reverse (1001001211112), we get a palindrome (3112122212113).

It can be divided in two parts, 211112 and 1001001, that multiplied together give a palindrome (211323323112).

The spelling of 2111121001001 in words is "two trillion, one hundred eleven billion, one hundred twenty-one million, one thousand, one".