10100010101100 has 36 divisors (see below), whose sum is σ = 29222695893384. Its totient is φ = 2693336026880.

The previous prime is 10100010101099. The next prime is 10100010101101. The reversal of 10100010101100 is 110101000101.

It is an interprime number because it is at equal distance from previous prime (10100010101099) and next prime (10100010101101).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10100010101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16833349869 + ... + 16833350468.

It is an arithmetic number, because the mean of its divisors is an integer number (811741552594).

Almost surely, 2^{10100010101100} is an apocalyptic number.

10100010101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100010101100 is an abundant number, since it is smaller than the sum of its proper divisors (19122685792284).

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

10100010101100 is a wasteful number, since it uses less digits than its factorization.

10100010101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666700354 (or 33666700347 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10100010101100 its reverse (110101000101), we get a palindrome (10210111101201).

The spelling of 10100010101100 in words is "ten trillion, one hundred billion, ten million, one hundred one thousand, one hundred".