101102111000000 has 1176 divisors, whose sum is σ = 298084512281904. Its totient is φ = 33612800000000.

The previous prime is 101102110999997. The next prime is 101102111000071. The reversal of 101102111000000 is 111201101.

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 167 ways as a sum of consecutive naturals, for example, 1001010999950 + ... + 1001011000050.

Almost surely, 2^{101102111000000} is an apocalyptic number.

101102111000000 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 101102111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149042256140952).

101102111000000 is an abundant number, since it is smaller than the sum of its proper divisors (196982401281904).

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

101102111000000 is an frugal number, since it uses more digits than its factorization.

101102111000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 189 counting only the distinct ones).

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

Adding to 101102111000000 its reverse (111201101), we get a palindrome (101102222201101).

It can be divided in two parts, 1011021 and 11000000, that added together give a palindrome (12011021).

The spelling of 101102111000000 in words is "one hundred one trillion, one hundred two billion, one hundred eleven million", and thus it is an aban number.