101011110200 has 384 divisors, whose sum is σ = 329048939520. Its totient is φ = 27797299200.

The previous prime is 101011110181. The next prime is 101011110217. The reversal of 101011110200 is 2011110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4593632 + ... + 4615568.

It is an arithmetic number, because the mean of its divisors is an integer number (856898280).

Almost surely, 2^101011110200 is an apocalyptic number.

101011110200 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 101011110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164524469760).

101011110200 is an abundant number, since it is smaller than the sum of its proper divisors (228037829320).

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

101011110200 is a wasteful number, since it uses less digits than its factorization.

101011110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22007 (or 21998 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101011110200 its reverse (2011110101), we get a palindrome (103022220301).

Subtracting from 101011110200 its reverse (2011110101), we obtain a palindrome (99000000099).

The spelling of 101011110200 in words is "one hundred one billion, eleven million, one hundred ten thousand, two hundred".