101020111200 has 288 divisors, whose sum is σ = 365726592000. Its totient is φ = 26911388160.

The previous prime is 101020111189. The next prime is 101020111207. The reversal of 101020111200 is 2111020101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020111207) 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, 30216729 + ... + 30220071.

It is an arithmetic number, because the mean of its divisors is an integer number (1269884000).

Almost surely, 2^101020111200 is an apocalyptic number.

101020111200 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 101020111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182863296000).

101020111200 is an abundant number, since it is smaller than the sum of its proper divisors (264706480800).

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

101020111200 is a wasteful number, since it uses less digits than its factorization.

101020111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101020111200 its reverse (2111020101), we get a palindrome (103131131301).

The spelling of 101020111200 in words is "one hundred one billion, twenty million, one hundred eleven thousand, two hundred".