10001122021011 has 32 divisors (see below), whose sum is σ = 14794199159040. Its totient is φ = 5958330163200.

The previous prime is 10001122021003. The next prime is 10001122021027. The reversal of 10001122021011 is 11012022110001.

It is not a de Polignac number, because 10001122021011 - 2³ = 10001122021003 is a prime.

It is a super-2 number, since 2×10001122021011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001122021091) 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 31 ways as a sum of consecutive naturals, for example, 62677971 + ... + 62837331.

It is an arithmetic number, because the mean of its divisors is an integer number (462318723720).

Almost surely, 2^{10001122021011} is an apocalyptic number.

10001122021011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10001122021011 is a deficient number, since it is larger than the sum of its proper divisors (4793077138029).

10001122021011 is a wasteful number, since it uses less digits than its factorization.

10001122021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191667.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10001122021011 its reverse (11012022110001), we get a palindrome (21013144131012).

The spelling of 10001122021011 in words is "ten trillion, one billion, one hundred twenty-two million, twenty-one thousand, eleven".