100101122011 has 8 divisors (see below), whose sum is σ = 109205160624. Its totient is φ = 90997739520.

The previous prime is 100101122003. The next prime is 100101122027. The reversal of 100101122011 is 110221101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100101122011 - 2³ = 100101122003 is a prime.

It is a super-2 number, since 2×100101122011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101162011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187795 + ... + 485251.

It is an arithmetic number, because the mean of its divisors is an integer number (13650645078).

Almost surely, 2^100101122011 is an apocalyptic number.

100101122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101122011 is a deficient number, since it is larger than the sum of its proper divisors (9104038613).

100101122011 is a wasteful number, since it uses less digits than its factorization.

100101122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328061.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100101122011 its reverse (110221101001), we get a palindrome (210322223012).

The spelling of 100101122011 in words is "one hundred billion, one hundred one million, one hundred twenty-two thousand, eleven".