10101100104 has 24 divisors (see below), whose sum is σ = 27357146310. Its totient is φ = 3367033344.

The previous prime is 10101100091. The next prime is 10101100117. The reversal of 10101100104 is 40100110101.

It is an interprime number because it is at equal distance from previous prime (10101100091) and next prime (10101100117).

It can be written as a sum of positive squares in only one way, i.e., 6724328004 + 3376772100 = 82002^2 + 58110^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10101100104² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70146457 + ... + 70146600.

Almost surely, 2^10101100104 is an apocalyptic number.

It is an amenable number.

10101100104 is an abundant number, since it is smaller than the sum of its proper divisors (17256046206).

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

10101100104 is a wasteful number, since it uses less digits than its factorization.

10101100104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140293069 (or 140293062 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101100104 its reverse (40100110101), we get a palindrome (50201210205).

The spelling of 10101100104 in words is "ten billion, one hundred one million, one hundred thousand, one hundred four".