101121311200 has 288 divisors, whose sum is σ = 310906100736. Its totient is φ = 31257999360.

The previous prime is 101121311189. The next prime is 101121311279. The reversal of 101121311200 is 2113121101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3114249 + ... + 3146551.

It is an arithmetic number, because the mean of its divisors is an integer number (1079535072).

Almost surely, 2^101121311200 is an apocalyptic number.

101121311200 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 101121311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155453050368).

101121311200 is an abundant number, since it is smaller than the sum of its proper divisors (209784789536).

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

101121311200 is a wasteful number, since it uses less digits than its factorization.

101121311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32386 (or 32373 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101121311200 its reverse (2113121101), we get a palindrome (103234432301).

The spelling of 101121311200 in words is "one hundred one billion, one hundred twenty-one million, three hundred eleven thousand, two hundred".