101012001010000 has 100 divisors (see below), whose sum is σ = 244716262628992. Its totient is φ = 40379009328000.

The previous prime is 101012001009989. The next prime is 101012001010003. The reversal of 101012001010000 is 10100210101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012001010003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12446899 + ... + 18893101.

Almost surely, 2^{101012001010000} is an apocalyptic number.

101012001010000 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 101012001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122358131314496).

101012001010000 is an abundant number, since it is smaller than the sum of its proper divisors (143704261618992).

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

101012001010000 is an equidigital number, since it uses as much as digits as its factorization.

101012001010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6447798 (or 6447777 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101012001010000 its reverse (10100210101), we get a palindrome (101022101220101).

The spelling of 101012001010000 in words is "one hundred one trillion, twelve billion, one million, ten thousand".