101310141200 has 120 divisors (see below), whose sum is σ = 244886909568. Its totient is φ = 40276938240.

The previous prime is 101310141133. The next prime is 101310141217. The reversal of 101310141200 is 2141013101.

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, 54262667 + ... + 54264533.

Almost surely, 2^101310141200 is an apocalyptic number.

101310141200 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 101310141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122443454784).

101310141200 is an abundant number, since it is smaller than the sum of its proper divisors (143576768368).

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

101310141200 is a wasteful number, since it uses less digits than its factorization.

101310141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101310141200 its reverse (2141013101), we get a palindrome (103451154301).

The spelling of 101310141200 in words is "one hundred one billion, three hundred ten million, one hundred forty-one thousand, two hundred".