101112112101000 has 2048 divisors, whose sum is σ = 445502655037440. Its totient is φ = 18403241472000.

The previous prime is 101112112100999. The next prime is 101112112101019. The reversal of 101112112101000 is 101211211101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 8771757237 + ... + 8771768763.

It is an arithmetic number, because the mean of its divisors is an integer number (217530593280).

Almost surely, 2^{101112112101000} is an apocalyptic number.

101112112101000 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 101112112101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222751327518720).

101112112101000 is an abundant number, since it is smaller than the sum of its proper divisors (344390542936440).

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

101112112101000 is a wasteful number, since it uses less digits than its factorization.

101112112101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11732 (or 11718 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101112112101000 its reverse (101211211101), we get a palindrome (101213323312101).

The spelling of 101112112101000 in words is "one hundred one trillion, one hundred twelve billion, one hundred twelve million, one hundred one thousand".