101110010100101 has 4 divisors (see below), whose sum is σ = 101381082513612. Its totient is φ = 100838937686592.

The previous prime is 101110010100083. The next prime is 101110010100119. The reversal of 101110010100101 is 101001010011101.

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

It is an interprime number because it is at equal distance from previous prime (101110010100083) and next prime (101110010100119).

It can be written as a sum of positive squares in 2 ways, for example, as 19123776209476 + 81986233890625 = 4373074^2 + 9054625^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110010100101 - 2²⁶ = 101109942991237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110010105101) 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, 135536206196 + ... + 135536206941.

It is an arithmetic number, because the mean of its divisors is an integer number (25345270628403).

Almost surely, 2^{101110010100101} is an apocalyptic number.

It is an amenable number.

101110010100101 is a deficient number, since it is larger than the sum of its proper divisors (271072413511).

101110010100101 is an equidigital number, since it uses as much as digits as its factorization.

101110010100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271072413510.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101110010100101 its reverse (101001010011101), we get a palindrome (202111020111202).

It can be divided in two parts, 10 and 1110010100101, that added together give a palindrome (1110010100111).

The spelling of 101110010100101 in words is "one hundred one trillion, one hundred ten billion, ten million, one hundred thousand, one hundred one".