101012002011 has 12 divisors (see below), whose sum is σ = 146548986792. Its totient is φ = 67044675456.

The previous prime is 101012001997. The next prime is 101012002031. The reversal of 101012002011 is 110200210101.

It is a happy number.

It is not a de Polignac number, because 101012002011 - 2¹⁵ = 101011969243 is a prime.

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 = 101012001984 and 101012002002.

It is not an unprimeable number, because it can be changed into a prime (101012002031) 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 11 ways as a sum of consecutive naturals, for example, 24719446 + ... + 24723531.

It is an arithmetic number, because the mean of its divisors is an integer number (12212415566).

Almost surely, 2^101012002011 is an apocalyptic number.

101012002011 is a deficient number, since it is larger than the sum of its proper divisors (45536984781).

101012002011 is a wasteful number, since it uses less digits than its factorization.

101012002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49443210 (or 49443207 counting only the distinct ones).

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

Adding to 101012002011 its reverse (110200210101), we get a palindrome (211212212112).

The spelling of 101012002011 in words is "one hundred one billion, twelve million, two thousand, eleven".