101000010101100 has 144 divisors (see below), whose sum is σ = 318831203663616. Its totient is φ = 24481898208000.

The previous prime is 101000010101059. The next prime is 101000010101117. The reversal of 101000010101100 is 1101010000101.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25585002 + ... + 29267598.

Almost surely, 2^{101000010101100} is an apocalyptic number.

101000010101100 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 101000010101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159415601831808).

101000010101100 is an abundant number, since it is smaller than the sum of its proper divisors (217831193562516).

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

101000010101100 is a wasteful number, since it uses less digits than its factorization.

101000010101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690936 (or 3690929 counting only the distinct ones).

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

Adding to 101000010101100 its reverse (1101010000101), we get a palindrome (102101020101201).

The spelling of 101000010101100 in words is "one hundred one trillion, ten million, one hundred one thousand, one hundred".