101101001010100 has 108 divisors (see below), whose sum is σ = 274839182919084. Its totient is φ = 31996800299520.

The previous prime is 101101001010073. The next prime is 101101001010127. The reversal of 101101001010100 is 1010100101101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101101001010073) and next prime (101101001010127).

It can be written as a sum of positive squares in 6 ways, for example, as 4196901265956 + 96904099744144 = 2048634^2 + 9843988^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 793507737 + ... + 793635136.

Almost surely, 2^{101101001010100} is an apocalyptic number.

101101001010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101001010100 is an abundant number, since it is smaller than the sum of its proper divisors (173738181908984).

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

101101001010100 is a wasteful number, since it uses less digits than its factorization.

101101001010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587142914 (or 1587142900 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101101001010100 its reverse (1010100101101), we get a palindrome (102111101111201).

The spelling of 101101001010100 in words is "one hundred one trillion, one hundred one billion, one million, ten thousand, one hundred".