101141300000 has 144 divisors (see below), whose sum is σ = 268035047784. Its totient is φ = 37344000000.

The previous prime is 101141299993. The next prime is 101141300017. The reversal of 101141300000 is 3141101.

It can be written as a sum of positive squares in 12 ways, for example, as 64075809424 + 37065490576 = 253132^2 + 192524^2 .

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, 1261100 + ... + 1338900.

Almost surely, 2^101141300000 is an apocalyptic number.

101141300000 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 101141300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134017523892).

101141300000 is an abundant number, since it is smaller than the sum of its proper divisors (166893747784).

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

101141300000 is an frugal number, since it uses more digits than its factorization.

101141300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77849 (or 77821 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101141300000 its reverse (3141101), we get a palindrome (101144441101).

The spelling of 101141300000 in words is "one hundred one billion, one hundred forty-one million, three hundred thousand".