101200011024 has 160 divisors (see below), whose sum is σ = 300158217216. Its totient is φ = 28781406720.

The previous prime is 101200010983. The next prime is 101200011041. The reversal of 101200011024 is 420110002101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106863319 + ... + 106864265.

Almost surely, 2^101200011024 is an apocalyptic number.

101200011024 is a gapful number since it is divisible by the number (14) 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 101200011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150079108608).

101200011024 is an abundant number, since it is smaller than the sum of its proper divisors (198958206192).

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

101200011024 is a wasteful number, since it uses less digits than its factorization.

101200011024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101200011024 its reverse (420110002101), we get a palindrome (521310013125).

The spelling of 101200011024 in words is "one hundred one billion, two hundred million, eleven thousand, twenty-four".