10111021121201 has 64 divisors (see below), whose sum is σ = 14503431505920. Its totient is φ = 6787055784960.

The previous prime is 10111021121171. The next prime is 10111021121293. The reversal of 10111021121201 is 10212112011101.

It is not a de Polignac number, because 10111021121201 - 2¹⁸ = 10111020859057 is a prime.

It is a super-2 number, since 2×10111021121201² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10111021126201) 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 63 ways as a sum of consecutive naturals, for example, 2693096 + ... + 5241641.

It is an arithmetic number, because the mean of its divisors is an integer number (226616117280).

Almost surely, 2^{10111021121201} is an apocalyptic number.

10111021121201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111021121201 is a deficient number, since it is larger than the sum of its proper divisors (4392410384719).

10111021121201 is a wasteful number, since it uses less digits than its factorization.

10111021121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934854.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10111021121201 its reverse (10212112011101), we get a palindrome (20323133132302).

The spelling of 10111021121201 in words is "ten trillion, one hundred eleven billion, twenty-one million, one hundred twenty-one thousand, two hundred one".