101112011000000 has 1568 divisors, whose sum is σ = 341078264142336. Its totient is φ = 28717056000000.

The previous prime is 101112010999999. The next prime is 101112011000017. The reversal of 101112011000000 is 110211101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 83082999392 + ... + 83083000608.

It is an arithmetic number, because the mean of its divisors is an integer number (217524403152).

Almost surely, 2^{101112011000000} is an apocalyptic number.

101112011000000 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 101112011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170539132071168).

101112011000000 is an abundant number, since it is smaller than the sum of its proper divisors (239966253142336).

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

101112011000000 is an equidigital number, since it uses as much as digits as its factorization.

101112011000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101112011000000 its reverse (110211101), we get a palindrome (101112121211101).

The spelling of 101112011000000 in words is "one hundred one trillion, one hundred twelve billion, eleven million", and thus it is an aban number.