100101012121011 has 32 divisors (see below), whose sum is σ = 147068543589120. Its totient is φ = 60056208432000.

The previous prime is 100101012121007. The next prime is 100101012121039. The reversal of 100101012121011 is 110121210101001.

It is not a de Polignac number, because 100101012121011 - 2² = 100101012121007 is a prime.

It is a super-2 number, since 2×100101012121011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100101012121091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16662921 + ... + 21859893.

It is an arithmetic number, because the mean of its divisors is an integer number (4595891987160).

Almost surely, 2^{100101012121011} is an apocalyptic number.

100101012121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101012121011 is a deficient number, since it is larger than the sum of its proper divisors (46967531468109).

100101012121011 is a wasteful number, since it uses less digits than its factorization.

100101012121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202867.

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

Adding to 100101012121011 its reverse (110121210101001), we get a palindrome (210222222222012).

The spelling of 100101012121011 in words is "one hundred trillion, one hundred one billion, twelve million, one hundred twenty-one thousand, eleven".