100102120011011 has 8 divisors (see below), whose sum is σ = 103554701226480. Its totient is φ = 96649591060512.

The previous prime is 100102120010989. The next prime is 100102120011013. The reversal of 100102120011011 is 110110021201001.

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

It is not a de Polignac number, because 100102120011011 - 2¹⁰ = 100102120009987 is a prime.

It is a super-2 number, since 2×100102120011011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102120010983 and 100102120011001.

It is not an unprimeable number, because it can be changed into a prime (100102120011013) 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, 9149720 + ... + 16849973.

It is an arithmetic number, because the mean of its divisors is an integer number (12944337653310).

Almost surely, 2^{100102120011011} is an apocalyptic number.

100102120011011 is a deficient number, since it is larger than the sum of its proper divisors (3452581215469).

100102120011011 is a wasteful number, since it uses less digits than its factorization.

100102120011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26132485.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100102120011011 its reverse (110110021201001), we get a palindrome (210212141212012).

The spelling of 100102120011011 in words is "one hundred trillion, one hundred two billion, one hundred twenty million, eleven thousand, eleven".