100121010012011 has 8 divisors (see below), whose sum is σ = 100358013603120. Its totient is φ = 99884033044992.

The previous prime is 100121010011993. The next prime is 100121010012071. The reversal of 100121010012011 is 110210010121001.

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 100121010012011 - 2¹⁴ = 100121009995627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100121010011983 and 100121010012001.

It is not an unprimeable number, because it can be changed into a prime (100121010012071) 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, 884060 + ... + 14178278.

It is an arithmetic number, because the mean of its divisors is an integer number (12544751700390).

Almost surely, 2^{100121010012011} is an apocalyptic number.

100121010012011 is a deficient number, since it is larger than the sum of its proper divisors (237003591109).

100121010012011 is a wasteful number, since it uses less digits than its factorization.

100121010012011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13312045.

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

Adding to 100121010012011 its reverse (110210010121001), we get a palindrome (210331020133012).

The spelling of 100121010012011 in words is "one hundred trillion, one hundred twenty-one billion, ten million, twelve thousand, eleven".