101123100 has 288 divisors, whose sum is σ = 363587840. Its totient is φ = 23950080.

The previous prime is 101123083. The next prime is 101123117. The reversal of 101123100 is 1321101.

It is an interprime number because it is at equal distance from previous prime (101123083) and next prime (101123117).

It is a super-2 number, since 2×101123100² = 20451762707220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1509267 + ... + 1509333.

Almost surely, 2^101123100 is an apocalyptic number.

101123100 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 101123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181793920).

101123100 is an abundant number, since it is smaller than the sum of its proper divisors (262464740).

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

101123100 is a wasteful number, since it uses less digits than its factorization.

101123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101123100 is about 10055.9982100237. The cubic root of 101123100 is about 465.8900745830.

Adding to 101123100 its reverse (1321101), we get a palindrome (102444201).

It can be divided in two parts, 101 and 123100, that added together give a square (123201 = 351²).

The spelling of 101123100 in words is "one hundred one million, one hundred twenty-three thousand, one hundred".