10400121111 has 16 divisors (see below), whose sum is σ = 13953753216. Its totient is φ = 6889991136.

The previous prime is 10400121091. The next prime is 10400121113. The reversal of 10400121111 is 11112100401.

10400121111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10400121111 - 2¹⁷ = 10399990039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400121113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1534416 + ... + 1541178.

It is an arithmetic number, because the mean of its divisors is an integer number (872109576).

Almost surely, 2^10400121111 is an apocalyptic number.

10400121111 is a deficient number, since it is larger than the sum of its proper divisors (3553632105).

10400121111 is a wasteful number, since it uses less digits than its factorization.

10400121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9902.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10400121111 its reverse (11112100401), we get a palindrome (21512221512).

The spelling of 10400121111 in words is "ten billion, four hundred million, one hundred twenty-one thousand, one hundred eleven".