101012101000 has 64 divisors (see below), whose sum is σ = 236933424000. Its totient is φ = 40308241600.

The previous prime is 101012100991. The next prime is 101012101051. The reversal of 101012101000 is 101210101.

101012101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298461 + ... + 539539.

It is an arithmetic number, because the mean of its divisors is an integer number (3702084750).

Almost surely, 2^101012101000 is an apocalyptic number.

101012101000 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 101012101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118466712000).

101012101000 is an abundant number, since it is smaller than the sum of its proper divisors (135921323000).

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

101012101000 is a wasteful number, since it uses less digits than its factorization.

101012101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241519 (or 241505 counting only the distinct ones).

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

Adding to 101012101000 its reverse (101210101), we get a palindrome (101113311101).

The spelling of 101012101000 in words is "one hundred one billion, twelve million, one hundred one thousand".