100021011121011 has 16 divisors (see below), whose sum is σ = 139212843162624. Its totient is φ = 63757142226624.

The previous prime is 100021011120991. The next prime is 100021011121013. The reversal of 100021011121011 is 110121110120001.

It is not a de Polignac number, because 100021011121011 - 2⁴⁶ = 29652266943347 is a prime.

It is a super-2 number, since 2×100021011121011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100021011121013) 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, 276773931 + ... + 277135076.

It is an arithmetic number, because the mean of its divisors is an integer number (8700802697664).

Almost surely, 2^{100021011121011} is an apocalyptic number.

100021011121011 is a deficient number, since it is larger than the sum of its proper divisors (39191832041613).

100021011121011 is a wasteful number, since it uses less digits than its factorization.

100021011121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553911650.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100021011121011 its reverse (110121110120001), we get a palindrome (210142121241012).

The spelling of 100021011121011 in words is "one hundred trillion, twenty-one billion, eleven million, one hundred twenty-one thousand, eleven".