101127898872 has 512 divisors, whose sum is σ = 387391334400. Its totient is φ = 23589273600.

The previous prime is 101127898871. The next prime is 101127898873. The reversal of 101127898872 is 278898721101.

It is an interprime number because it is at equal distance from previous prime (101127898871) and next prime (101127898873).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101127898871) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7993672 + ... + 8006312.

It is an arithmetic number, because the mean of its divisors is an integer number (756623700).

Almost surely, 2^101127898872 is an apocalyptic number.

101127898872 is a gapful number since it is divisible by the number (12) 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 101127898872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193695667200).

101127898872 is an abundant number, since it is smaller than the sum of its proper divisors (286263435528).

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

101127898872 is a wasteful number, since it uses less digits than its factorization.

101127898872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12724 (or 12714 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 54.

It can be divided in two parts, 101127 and 898872, that added together give a palindrome (999999).

The spelling of 101127898872 in words is "one hundred one billion, one hundred twenty-seven million, eight hundred ninety-eight thousand, eight hundred seventy-two".