10100012121011 has 8 divisors (see below), whose sum is σ = 10105012377600. Its totient is φ = 10095012527688.

The previous prime is 10100012120993. The next prime is 10100012121013. The reversal of 10100012121011 is 11012121000101.

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 10100012121011 - 2¹⁰ = 10100012119987 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100012120983 and 10100012121001.

It is not an unprimeable number, because it can be changed into a prime (10100012121013) 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, 31813520 + ... + 32129426.

It is an arithmetic number, because the mean of its divisors is an integer number (1263126547200).

Almost surely, 2^{10100012121011} is an apocalyptic number.

10100012121011 is a deficient number, since it is larger than the sum of its proper divisors (5000256589).

10100012121011 is a wasteful number, since it uses less digits than its factorization.

10100012121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331633.

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

Adding to 10100012121011 its reverse (11012121000101), we get a palindrome (21112133121112).

The spelling of 10100012121011 in words is "ten trillion, one hundred billion, twelve million, one hundred twenty-one thousand, eleven".