2001211021113 has 32 divisors (see below), whose sum is σ = 2788924818432. Its totient is φ = 1274013576000.

The previous prime is 2001211021091. The next prime is 2001211021123. The reversal of 2001211021113 is 3111201121002.

It is not a de Polignac number, because 2001211021113 - 2⁸ = 2001211020857 is a prime.

It is a super-2 number, since 2×2001211021113² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001211021092 and 2001211021101.

It is not an unprimeable number, because it can be changed into a prime (2001211021123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125846463 + ... + 125862363.

It is an arithmetic number, because the mean of its divisors is an integer number (87153900576).

Almost surely, 2^{2001211021113} is an apocalyptic number.

2001211021113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2001211021113 is a deficient number, since it is larger than the sum of its proper divisors (787713797319).

2001211021113 is a wasteful number, since it uses less digits than its factorization.

2001211021113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18845.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2001211021113 its reverse (3111201121002), we get a palindrome (5112412142115).

The spelling of 2001211021113 in words is "two trillion, one billion, two hundred eleven million, twenty-one thousand, one hundred thirteen".