101144134100 has 36 divisors (see below), whose sum is σ = 224836018428. Its totient is φ = 39470880000.

The previous prime is 101144134079. The next prime is 101144134109. The reversal of 101144134100 is 1431441101.

It can be written as a sum of positive squares in 6 ways, for example, as 47091604036 + 54052530064 = 217006^2 + 232492^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101144134109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12330551 + ... + 12338750.

Almost surely, 2^101144134100 is an apocalyptic number.

101144134100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101144134100 is an abundant number, since it is smaller than the sum of its proper divisors (123691884328).

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

101144134100 is a wasteful number, since it uses less digits than its factorization.

101144134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24669356 (or 24669349 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101144134100 its reverse (1431441101), we get a palindrome (102575575201).

The spelling of 101144134100 in words is "one hundred one billion, one hundred forty-four million, one hundred thirty-four thousand, one hundred".