10100101027 has 4 divisors (see below), whose sum is σ = 10271289240. Its totient is φ = 9928912816.

The previous prime is 10100101001. The next prime is 10100101031. The reversal of 10100101027 is 72010100101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10100101027 - 2¹⁵ = 10100068259 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100100998 and 10100101016.

It is not an unprimeable number, because it can be changed into a prime (10100101927) 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, 85594018 + ... + 85594135.

It is an arithmetic number, because the mean of its divisors is an integer number (2567822310).

Almost surely, 2^10100101027 is an apocalyptic number.

10100101027 is a deficient number, since it is larger than the sum of its proper divisors (171188213).

10100101027 is an equidigital number, since it uses as much as digits as its factorization.

10100101027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171188212.

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 10100101027 its reverse (72010100101), we get a palindrome (82110201128).

The spelling of 10100101027 in words is "ten billion, one hundred million, one hundred one thousand, twenty-seven".