101012120110200 has 192 divisors, whose sum is σ = 337911903504000. Its totient is φ = 24813880358400.

The previous prime is 101012120110183. The next prime is 101012120110201. The reversal of 101012120110200 is 2011021210101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012120110201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9357850 + ... + 17017449.

It is an arithmetic number, because the mean of its divisors is an integer number (1759957830750).

Almost surely, 2^{101012120110200} is an apocalyptic number.

101012120110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012120110200 is an abundant number, since it is smaller than the sum of its proper divisors (236899783393800).

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

101012120110200 is a wasteful number, since it uses less digits than its factorization.

101012120110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26375822 (or 26375813 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101012120110200 its reverse (2011021210101), we get a palindrome (103023141320301).

The spelling of 101012120110200 in words is "one hundred one trillion, twelve billion, one hundred twenty million, one hundred ten thousand, two hundred".