101143100100 has 216 divisors, whose sum is σ = 349621164480. Its totient is φ = 22493479680.

The previous prime is 101143100099. The next prime is 101143100111. The reversal of 101143100100 is 1001341101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 450921 + ... + 636879.

Almost surely, 2^101143100100 is an apocalyptic number.

101143100100 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 101143100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174810582240).

101143100100 is an abundant number, since it is smaller than the sum of its proper divisors (248478064380).

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

101143100100 is a wasteful number, since it uses less digits than its factorization.

101143100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186027 (or 186013 counting only the distinct ones).

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

Adding to 101143100100 its reverse (1001341101), we get a palindrome (102144441201).

The spelling of 101143100100 in words is "one hundred one billion, one hundred forty-three million, one hundred thousand, one hundred".