10001000212011 has 48 divisors (see below), whose sum is σ = 14754877862400. Its totient is φ = 6526269864576.

The previous prime is 10001000211977. The next prime is 10001000212019. The reversal of 10001000212011 is 11021200010001.

It is a happy number.

It is not a de Polignac number, because 10001000212011 - 2¹⁸ = 10000999949867 is a prime.

It is a super-3 number, since 3×10001000212011³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001000211984 and 10001000212002.

It is not an unprimeable number, because it can be changed into a prime (10001000212019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273809196 + ... + 273845718.

It is an arithmetic number, because the mean of its divisors is an integer number (307393288800).

Almost surely, 2^{10001000212011} is an apocalyptic number.

10001000212011 is a deficient number, since it is larger than the sum of its proper divisors (4753877650389).

10001000212011 is a wasteful number, since it uses less digits than its factorization.

10001000212011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40040 (or 40037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001000212011 its reverse (11021200010001), we get a palindrome (21022200222012).

The spelling of 10001000212011 in words is "ten trillion, one billion, two hundred twelve thousand, eleven".