101121131300 has 72 divisors (see below), whose sum is σ = 251360328576. Its totient is φ = 34589928960.

The previous prime is 101121131299. The next prime is 101121131317. The reversal of 101121131300 is 3131121101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136289 + ... + 469911.

Almost surely, 2^101121131300 is an apocalyptic number.

101121131300 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 101121131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125680164288).

101121131300 is an abundant number, since it is smaller than the sum of its proper divisors (150239197276).

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

101121131300 is a wasteful number, since it uses less digits than its factorization.

101121131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334077 (or 334070 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101121131300 its reverse (3131121101), we get a palindrome (104252252401).

The spelling of 101121131300 in words is "one hundred one billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred".