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101112110000000 = 27571119101479
BaseRepresentation
bin10110111111010111111111…
…011001100010011110000000
3111021000020000210111000222222
4112333113333121202132000
5101223110100130000000
6555014132335350212
730204052226155241
oct2677277731423600
9437006023430888
10101112110000000
112a243450120430
12b410255082368
134455aa5abb098
141ad7bd076ccc8
15ba52584bda85
hex5bf5ff662780

101112110000000 has 1024 divisors, whose sum is σ = 292611750912000. Its totient is φ = 34416000000000.

The previous prime is 101112109999951. The next prime is 101112110000093. The reversal of 101112110000000 is 11211101.

It is a happy number.

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

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, 211089999761 + ... + 211090000239.

It is an arithmetic number, because the mean of its divisors is an integer number (285753663000).

Almost surely, 2101112110000000 is an apocalyptic number.

101112110000000 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 101112110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146305875456000).

101112110000000 is an abundant number, since it is smaller than the sum of its proper divisors (191499640912000).

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

101112110000000 is an frugal number, since it uses more digits than its factorization.

101112110000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 617 counting only the distinct ones).

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

Adding to 101112110000000 its reverse (11211101), we get a palindrome (101112121211101).

The spelling of 101112110000000 in words is "one hundred one trillion, one hundred twelve billion, one hundred ten million", and thus it is an aban number.