10101111010000 has 150 divisors (see below), whose sum is σ = 24529404429530. Its totient is φ = 4028320224000.

The previous prime is 10101111009967. The next prime is 10101111010009. The reversal of 10101111010000 is 1011110101.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 2075743273536 + 8025367736464 = 1440744^2 + 2832908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101111010009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1204085806 + ... + 1204094194.

Almost surely, 2^{10101111010000} is an apocalyptic number.

10101111010000 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 10101111010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12264702214765).

10101111010000 is an abundant number, since it is smaller than the sum of its proper divisors (14428293419530).

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

10101111010000 is an frugal number, since it uses more digits than its factorization.

10101111010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9111 (or 8743 counting only the distinct ones).

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

Adding to 10101111010000 its reverse (1011110101), we get a palindrome (10102122120101).

The spelling of 10101111010000 in words is "ten trillion, one hundred one billion, one hundred eleven million, ten thousand".