10162144126101 has 32 divisors (see below), whose sum is σ = 15579510088320. Its totient is φ = 5834302073600.

The previous prime is 10162144126051. The next prime is 10162144126151.

10162144126101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10162144126051) and next prime (10162144126151).

It is not a de Polignac number, because 10162144126101 - 2¹⁸ = 10162143863957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10162144126151) 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, 100126170 + ... + 100227611.

It is an arithmetic number, because the mean of its divisors is an integer number (486859690260).

Almost surely, 2^{10162144126101} is an apocalyptic number.

10162144126101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10162144126101 is a deficient number, since it is larger than the sum of its proper divisors (5417365962219).

10162144126101 is a wasteful number, since it uses less digits than its factorization.

10162144126101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200353877.

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 10162144126101 in words is "ten trillion, one hundred sixty-two billion, one hundred forty-four million, one hundred twenty-six thousand, one hundred one".