1012101100000 has 144 divisors (see below), whose sum is σ = 2510200336896. Its totient is φ = 401647680000.

The previous prime is 1012101099959. The next prime is 1012101100001. The reversal of 1012101100000 is 11012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012101100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12660154 + ... + 12739846.

It is an arithmetic number, because the mean of its divisors is an integer number (17431946784).

Almost surely, 2^{1012101100000} is an apocalyptic number.

1012101100000 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 1012101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255100168448).

1012101100000 is an abundant number, since it is smaller than the sum of its proper divisors (1498099236896).

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

1012101100000 is an frugal number, since it uses more digits than its factorization.

1012101100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79855 (or 79827 counting only the distinct ones).

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

Adding to 1012101100000 its reverse (11012101), we get a palindrome (1012112112101).

The spelling of 1012101100000 in words is "one trillion, twelve billion, one hundred one million, one hundred thousand".