10121120100011 has 8 divisors (see below), whose sum is σ = 10744028904960. Its totient is φ = 9501272272768.

The previous prime is 10121120099983. The next prime is 10121120100041. The reversal of 10121120100011 is 11000102112101.

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 10121120100011 - 2¹⁰ = 10121120098987 is a prime.

It is a super-3 number, since 3×10121120100011³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121120099965 and 10121120100001.

It is not an unprimeable number, because it can be changed into a prime (10121120100041) 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, 765237611 + ... + 765250836.

It is an arithmetic number, because the mean of its divisors is an integer number (1343003613120).

Almost surely, 2^{10121120100011} is an apocalyptic number.

10121120100011 is a deficient number, since it is larger than the sum of its proper divisors (622908804949).

10121120100011 is a wasteful number, since it uses less digits than its factorization.

10121120100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530488853.

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

Adding to 10121120100011 its reverse (11000102112101), we get a palindrome (21121222212112).

The spelling of 10121120100011 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, one hundred thousand, eleven".