101101112102000 has 80 divisors (see below), whose sum is σ = 244513622900352. Its totient is φ = 40431985977600.

The previous prime is 101101112101949. The next prime is 101101112102033. The reversal of 101101112102000 is 201211101101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×101101112102000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4281602 + ... + 14850398.

Almost surely, 2^{101101112102000} is an apocalyptic number.

101101112102000 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 101101112102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122256811450176).

101101112102000 is an abundant number, since it is smaller than the sum of its proper divisors (143412510798352).

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

101101112102000 is a wasteful number, since it uses less digits than its factorization.

101101112102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10573603 (or 10573587 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101101112102000 its reverse (201211101101), we get a palindrome (101302323203101).

The spelling of 101101112102000 in words is "one hundred one trillion, one hundred one billion, one hundred twelve million, one hundred two thousand".