1010100084164 has 12 divisors (see below), whose sum is σ = 1769860165500. Its totient is φ = 504425751168.

The previous prime is 1010100084139. The next prime is 1010100084167. The reversal of 1010100084164 is 4614800010101.

1010100084164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 805940698564 + 204159385600 = 897742^2 + 451840^2 .

It is not an unprimeable number, because it can be changed into a prime (1010100084167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156069089 + ... + 156075560.

It is an arithmetic number, because the mean of its divisors is an integer number (147488347125).

Almost surely, 2^{1010100084164} is an apocalyptic number.

It is an amenable number.

1010100084164 is a deficient number, since it is larger than the sum of its proper divisors (759760081336).

1010100084164 is a wasteful number, since it uses less digits than its factorization.

1010100084164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312145462 (or 312145460 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 1010100084164 its reverse (4614800010101), we get a palindrome (5624900094265).

The spelling of 1010100084164 in words is "one trillion, ten billion, one hundred million, eighty-four thousand, one hundred sixty-four".