101241142100 has 72 divisors (see below), whose sum is σ = 265847359680. Its totient is φ = 32669406720.

The previous prime is 101241142081. The next prime is 101241142103. The reversal of 101241142100 is 1241142101.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101241142103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4241930 + ... + 4265729.

It is an arithmetic number, because the mean of its divisors is an integer number (3692324440).

Almost surely, 2^101241142100 is an apocalyptic number.

101241142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101241142100 is an abundant number, since it is smaller than the sum of its proper divisors (164606217580).

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

101241142100 is a wasteful number, since it uses less digits than its factorization.

101241142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8507697 (or 8507690 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101241142100 its reverse (1241142101), we get a palindrome (102482284201).

Subtracting from 101241142100 its reverse (1241142101), we obtain a palindrome (99999999999).

The spelling of 101241142100 in words is "one hundred one billion, two hundred forty-one million, one hundred forty-two thousand, one hundred".