101000010100000 has 288 divisors, whose sum is σ = 273818030399424. Its totient is φ = 36363600000000.

The previous prime is 101000010099949. The next prime is 101000010100027. The reversal of 101000010100000 is 1010000101.

It is a Harshad number since it is a multiple of its sum of digits (4).

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, 110645455 + ... + 111554545.

It is an arithmetic number, because the mean of its divisors is an integer number (950757049998).

Almost surely, 2^{101000010100000} is an apocalyptic number.

101000010100000 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 101000010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136909015199712).

101000010100000 is an abundant number, since it is smaller than the sum of its proper divisors (172818020299424).

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

101000010100000 is an equidigital number, since it uses as much as digits as its factorization.

101000010100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909238 (or 909210 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101000010100000 its reverse (1010000101), we get a palindrome (101001020100101).

101000010100000 divided by its reverse (1010000101) gives a 5-th power (100000 = 10⁵).

The spelling of 101000010100000 in words is "one hundred one trillion, ten million, one hundred thousand".