101011101010000 has 200 divisors, whose sum is σ = 245661075792000. Its totient is φ = 40222304640000.

The previous prime is 101011101009971. The next prime is 101011101010007. The reversal of 101011101010000 is 10101110101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011101010007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11111105455 + ... + 11111114545.

It is an arithmetic number, because the mean of its divisors is an integer number (1228305378960).

Almost surely, 2^{101011101010000} is an apocalyptic number.

101011101010000 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 101011101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122830537896000).

101011101010000 is an abundant number, since it is smaller than the sum of its proper divisors (144649974782000).

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

101011101010000 is an equidigital number, since it uses as much as digits as its factorization.

101011101010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14007 (or 13986 counting only the distinct ones).

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

Adding to 101011101010000 its reverse (10101110101), we get a palindrome (101021202120101).

101011101010000 divided by its reverse (10101110101) gives a 4-th power (10000 = 10⁴).

The spelling of 101011101010000 in words is "one hundred one trillion, eleven billion, one hundred one million, ten thousand".