10111002121111 has 8 divisors (see below), whose sum is σ = 10209317759264. Its totient is φ = 10012689378720.

The previous prime is 10111002121097. The next prime is 10111002121123. The reversal of 10111002121111 is 11112120011101.

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 10111002121111 - 2¹³ = 10111002112919 is a prime.

It is a super-2 number, since 2×10111002121111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111002121091 and 10111002121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111002121141) 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, 6657421 + ... + 8033881.

It is an arithmetic number, because the mean of its divisors is an integer number (1276164719908).

Almost surely, 2^{10111002121111} is an apocalyptic number.

10111002121111 is a deficient number, since it is larger than the sum of its proper divisors (98315638153).

10111002121111 is a wasteful number, since it uses less digits than its factorization.

10111002121111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447881.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10111002121111 its reverse (11112120011101), we get a palindrome (21223122132212).

The spelling of 10111002121111 in words is "ten trillion, one hundred eleven billion, two million, one hundred twenty-one thousand, one hundred eleven".