101102011011000 has 192 divisors, whose sum is σ = 342038052064800. Its totient is φ = 26935821888000.

The previous prime is 101102011010989. The next prime is 101102011011007. The reversal of 101102011011000 is 110110201101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102011011007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4670716 + ... + 14967284.

Almost surely, 2^{101102011011000} is an apocalyptic number.

101102011011000 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 101102011011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171019026032400).

101102011011000 is an abundant number, since it is smaller than the sum of its proper divisors (240936041053800).

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

101102011011000 is a wasteful number, since it uses less digits than its factorization.

101102011011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10297687 (or 10297670 counting only the distinct ones).

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

Adding to 101102011011000 its reverse (110110201101), we get a palindrome (101212121212101).

The spelling of 101102011011000 in words is "one hundred one trillion, one hundred two billion, eleven million, eleven thousand".