100120101021011 has 8 divisors (see below), whose sum is σ = 100184989222800. Its totient is φ = 100055216584800.

The previous prime is 100120101021001. The next prime is 100120101021019. The reversal of 100120101021011 is 110120101021001.

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 100120101021011 - 2²⁶ = 100120033912147 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100120101020983 and 100120101021001.

It is not an unprimeable number, because it can be changed into a prime (100120101021019) 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 7 ways as a sum of consecutive naturals, for example, 53262461 + ... + 55110161.

It is an arithmetic number, because the mean of its divisors is an integer number (12523123652850).

Almost surely, 2^{100120101021011} is an apocalyptic number.

100120101021011 is a deficient number, since it is larger than the sum of its proper divisors (64888201789).

100120101021011 is a wasteful number, since it uses less digits than its factorization.

100120101021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882789.

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

Adding to 100120101021011 its reverse (110120101021001), we get a palindrome (210240202042012).

The spelling of 100120101021011 in words is "one hundred trillion, one hundred twenty billion, one hundred one million, twenty-one thousand, eleven".