100111122000 has 480 divisors, whose sum is σ = 361443723264. Its totient is φ = 25805952000.

The previous prime is 100111121987. The next prime is 100111122043. The reversal of 100111122000 is 221111001.

It is a happy number.

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, 127205607 + ... + 127206393.

Almost surely, 2^100111122000 is an apocalyptic number.

100111122000 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 100111122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180721861632).

100111122000 is an abundant number, since it is smaller than the sum of its proper divisors (261332601264).

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

100111122000 is a wasteful number, since it uses less digits than its factorization.

100111122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100111122000 its reverse (221111001), we get a palindrome (100332233001).

It can be divided in two parts, 100111 and 122000, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 100111122000 in words is "one hundred billion, one hundred eleven million, one hundred twenty-two thousand".