10121001210111 has 16 divisors (see below), whose sum is σ = 14725134103680. Its totient is φ = 6132407711520.

The previous prime is 10121001210059. The next prime is 10121001210121. The reversal of 10121001210111 is 11101210012101.

It is not a de Polignac number, because 10121001210111 - 2¹⁷ = 10121001079039 is a prime.

It is a super-3 number, since 3×10121001210111³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121001210121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38176296 + ... + 38440493.

It is an arithmetic number, because the mean of its divisors is an integer number (920320881480).

Almost surely, 2^{10121001210111} is an apocalyptic number.

10121001210111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121001210111 is a deficient number, since it is larger than the sum of its proper divisors (4604132893569).

10121001210111 is a wasteful number, since it uses less digits than its factorization.

10121001210111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76620806.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10121001210111 its reverse (11101210012101), we get a palindrome (21222211222212).

It can be divided in two parts, 101210012101 and 11, that multiplied together give a palindrome (1113310133111).

The spelling of 10121001210111 in words is "ten trillion, one hundred twenty-one billion, one million, two hundred ten thousand, one hundred eleven".