10027677121 has 32 divisors (see below), whose sum is σ = 12678156288. Its totient is φ = 7704090240.

The previous prime is 10027677109. The next prime is 10027677223. The reversal of 10027677121 is 12177672001.

It is not a de Polignac number, because 10027677121 - 2²¹ = 10025579969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10027677421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3941976 + ... + 3944518.

It is an arithmetic number, because the mean of its divisors is an integer number (396192384).

Almost surely, 2^10027677121 is an apocalyptic number.

10027677121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10027677121 is a deficient number, since it is larger than the sum of its proper divisors (2650479167).

10027677121 is a wasteful number, since it uses less digits than its factorization.

10027677121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261.

The product of its (nonzero) digits is 8232, while the sum is 34.

The spelling of 10027677121 in words is "ten billion, twenty-seven million, six hundred seventy-seven thousand, one hundred twenty-one".