101123111100 has 288 divisors, whose sum is σ = 341459145216. Its totient is φ = 22833561600.

The previous prime is 101123111077. The next prime is 101123111107. The reversal of 101123111100 is 1111321101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123111107) 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 95 ways as a sum of consecutive naturals, for example, 5432409 + ... + 5450991.

It is an arithmetic number, because the mean of its divisors is an integer number (1185622032).

Almost surely, 2^101123111100 is an apocalyptic number.

101123111100 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 101123111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170729572608).

101123111100 is an abundant number, since it is smaller than the sum of its proper divisors (240336034116).

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

101123111100 is a wasteful number, since it uses less digits than its factorization.

101123111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18725 (or 18718 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101123111100 its reverse (1111321101), we get a palindrome (102234432201).

The spelling of 101123111100 in words is "one hundred one billion, one hundred twenty-three million, one hundred eleven thousand, one hundred".