10010100101100 has 144 divisors (see below), whose sum is σ = 31609625604480. Its totient is φ = 2425607244800.

The previous prime is 10010100101059. The next prime is 10010100101119. The reversal of 10010100101100 is 110100101001.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6725716 + ... + 8078084.

It is an arithmetic number, because the mean of its divisors is an integer number (219511288920).

Almost surely, 2^{10010100101100} is an apocalyptic number.

10010100101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010100101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15804812802240).

10010100101100 is an abundant number, since it is smaller than the sum of its proper divisors (21599525503380).

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

10010100101100 is a wasteful number, since it uses less digits than its factorization.

10010100101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354640 (or 1354633 counting only the distinct ones).

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

Adding to 10010100101100 its reverse (110100101001), we get a palindrome (10120200202101).

Subtracting from 10010100101100 its reverse (110100101001), we obtain a palindrome (9900000000099).

The spelling of 10010100101100 in words is "ten trillion, ten billion, one hundred million, one hundred one thousand, one hundred".