101112111000 has 512 divisors, whose sum is σ = 365534208000. Its totient is φ = 25826688000.

The previous prime is 101112110959. The next prime is 101112111041. The reversal of 101112111000 is 111211101.

It is an interprime number because it is at equal distance from previous prime (101112110959) and next prime (101112111041).

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 127 ways as a sum of consecutive naturals, for example, 89558436 + ... + 89559564.

It is an arithmetic number, because the mean of its divisors is an integer number (713934000).

Almost surely, 2^101112111000 is an apocalyptic number.

101112111000 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 101112111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182767104000).

101112111000 is an abundant number, since it is smaller than the sum of its proper divisors (264422097000).

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

101112111000 is a wasteful number, since it uses less digits than its factorization.

101112111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101112111000 its reverse (111211101), we get a palindrome (101223322101).

It can be divided in two parts, 1011121 and 11000, that added together give a square (1022121 = 1011²).

The spelling of 101112111000 in words is "one hundred one billion, one hundred twelve million, one hundred eleven thousand".