101032020011 has 16 divisors (see below), whose sum is σ = 112598828160. Its totient is φ = 90009843840.

The previous prime is 101032019993. The next prime is 101032020013. The reversal of 101032020011 is 110020230101.

It is a cyclic number.

It is not a de Polignac number, because 101032020011 - 2¹⁴ = 101032003627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101032019974 and 101032020001.

It is not an unprimeable number, because it can be changed into a prime (101032020013) 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 15 ways as a sum of consecutive naturals, for example, 956801 + ... + 1057133.

It is an arithmetic number, because the mean of its divisors is an integer number (7037426760).

Almost surely, 2^101032020011 is an apocalyptic number.

101032020011 is a deficient number, since it is larger than the sum of its proper divisors (11566808149).

101032020011 is a wasteful number, since it uses less digits than its factorization.

101032020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103046.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101032020011 its reverse (110020230101), we get a palindrome (211052250112).

The spelling of 101032020011 in words is "one hundred one billion, thirty-two million, twenty thousand, eleven".