10161958001027 has 16 divisors (see below), whose sum is σ = 12060885216960. Its totient is φ = 8377172901888.

The previous prime is 10161958001009. The next prime is 10161958001033. The reversal of 10161958001027 is 72010085916101.

It is a happy number.

It is not a de Polignac number, because 10161958001027 - 2⁶ = 10161958000963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10161958001057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97338698 + ... + 97443039.

It is an arithmetic number, because the mean of its divisors is an integer number (753805326060).

Almost surely, 2^{10161958001027} is an apocalyptic number.

10161958001027 is a deficient number, since it is larger than the sum of its proper divisors (1898927215933).

10161958001027 is a wasteful number, since it uses less digits than its factorization.

10161958001027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194782030.

The product of its (nonzero) digits is 30240, while the sum is 41.

The spelling of 10161958001027 in words is "ten trillion, one hundred sixty-one billion, nine hundred fifty-eight million, one thousand, twenty-seven".