101412323100 has 432 divisors, whose sum is σ = 354247910016. Its totient is φ = 24058944000.

The previous prime is 101412323081. The next prime is 101412323113. The reversal of 101412323100 is 1323214101.

It is a super-2 number, since 2×101412323100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 185397027 + ... + 185397573.

Almost surely, 2^101412323100 is an apocalyptic number.

101412323100 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 101412323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177123955008).

101412323100 is an abundant number, since it is smaller than the sum of its proper divisors (252835586916).

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

101412323100 is a wasteful number, since it uses less digits than its factorization.

101412323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101412323100 its reverse (1323214101), we get a palindrome (102735537201).

The spelling of 101412323100 in words is "one hundred one billion, four hundred twelve million, three hundred twenty-three thousand, one hundred".