2101011033331 has 32 divisors (see below), whose sum is σ = 2522329924608. Its totient is φ = 1711052449920.

The previous prime is 2101011033313. The next prime is 2101011033343. The reversal of 2101011033331 is 1333301101012.

It is a cyclic number.

It is not a de Polignac number, because 2101011033331 - 2¹⁵ = 2101011000563 is a prime.

It is a super-2 number, since 2×2101011033331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101011033299 and 2101011033308.

It is not an unprimeable number, because it can be changed into a prime (2101011030331) 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, 31078036 + ... + 31145566.

It is an arithmetic number, because the mean of its divisors is an integer number (78822810144).

Almost surely, 2^{2101011033331} is an apocalyptic number.

2101011033331 is a deficient number, since it is larger than the sum of its proper divisors (421318891277).

2101011033331 is a wasteful number, since it uses less digits than its factorization.

2101011033331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68851.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 2101011033331 its reverse (1333301101012), we get a palindrome (3434312134343).

The spelling of 2101011033331 in words is "two trillion, one hundred one billion, eleven million, thirty-three thousand, three hundred thirty-one".