101012122021011 has 16 divisors (see below), whose sum is σ = 135964420128000. Its totient is φ = 66703137159008.

The previous prime is 101012122020989. The next prime is 101012122021073. The reversal of 101012122021011 is 110120221210101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101012122021011 - 2⁹ = 101012122020499 is a prime.

It is a super-2 number, since 2×101012122021011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101012122021081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314571981 + ... + 314892926.

It is an arithmetic number, because the mean of its divisors is an integer number (8497776258000).

Almost surely, 2^{101012122021011} is an apocalyptic number.

101012122021011 is a deficient number, since it is larger than the sum of its proper divisors (34952298106989).

101012122021011 is a wasteful number, since it uses less digits than its factorization.

101012122021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629465418.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101012122021011 its reverse (110120221210101), we get a palindrome (211132343231112).

The spelling of 101012122021011 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, twenty-one thousand, eleven".