78114101121 has 27 divisors (see below), whose sum is σ = 131262808131. Its totient is φ = 44633275344.

The previous prime is 78114101089. The next prime is 78114101123. The reversal of 78114101121 is 12110141187.

It is a happy number.

The square root of 78114101121 is 279489.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 574129521 + 77539971600 = 23961^2 + 278460^2 .

It is not a de Polignac number, because 78114101121 - 2⁵ = 78114101089 is a prime.

It is a super-2 number, since 2×78114101121² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (78114101123) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5862615 + ... + 5875923.

Almost surely, 2^78114101121 is an apocalyptic number.

78114101121 is the 279489-th square number.

78114101121 is the 139745-th centered octagonal number.

It is an amenable number.

78114101121 is a deficient number, since it is larger than the sum of its proper divisors (53148707010).

78114101121 is an frugal number, since it uses more digits than its factorization.

78114101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26638 (or 13319 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 27.

The spelling of 78114101121 in words is "seventy-eight billion, one hundred fourteen million, one hundred one thousand, one hundred twenty-one".