2121011101011 has 64 divisors (see below), whose sum is σ = 3442360052736. Its totient is φ = 1145785344000.

The previous prime is 2121011100931. The next prime is 2121011101021. The reversal of 2121011101011 is 1101011101212.

It is not a de Polignac number, because 2121011101011 - 2¹¹ = 2121011098963 is a prime.

It is a super-2 number, since 2×2121011101011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121011101021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 489435 + ... + 2116971.

It is an arithmetic number, because the mean of its divisors is an integer number (53786875824).

Almost surely, 2^{2121011101011} is an apocalyptic number.

2121011101011 is a deficient number, since it is larger than the sum of its proper divisors (1321348951725).

2121011101011 is a wasteful number, since it uses less digits than its factorization.

2121011101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627692.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2121011101011 its reverse (1101011101212), we get a palindrome (3222022202223).

The spelling of 2121011101011 in words is "two trillion, one hundred twenty-one billion, eleven million, one hundred one thousand, eleven".