10100101001076 has 18 divisors (see below), whose sum is σ = 25530810863922. Its totient is φ = 3366700333680.

The previous prime is 10100101001057. The next prime is 10100101001077. The reversal of 10100101001076 is 67010010100101.

It can be written as a sum of positive squares in only one way, i.e., 8330589148176 + 1769511852900 = 2886276^2 + 1330230^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101001077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140279180535 + ... + 140279180606.

It is an arithmetic number, because the mean of its divisors is an integer number (1418378381329).

Almost surely, 2^{10100101001076} is an apocalyptic number.

It is an amenable number.

10100101001076 is an abundant number, since it is smaller than the sum of its proper divisors (15430709862846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100101001076 is a wasteful number, since it uses less digits than its factorization.

10100101001076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280558361151 (or 280558361146 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

Adding to 10100101001076 its reverse (67010010100101), we get a palindrome (77110111101177).

The spelling of 10100101001076 in words is "ten trillion, one hundred billion, one hundred one million, one thousand, seventy-six".