101110110102100 has 72 divisors (see below), whose sum is σ = 239357023920000. Its totient is φ = 36767033529600.

The previous prime is 101110110102073. The next prime is 101110110102103. The reversal of 101110110102100 is 1201011011101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110110102103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193436901 + ... + 193958899.

It is an arithmetic number, because the mean of its divisors is an integer number (3324403110000).

Almost surely, 2^{101110110102100} is an apocalyptic number.

101110110102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110110102100 is an abundant number, since it is smaller than the sum of its proper divisors (138246913817900).

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

101110110102100 is a wasteful number, since it uses less digits than its factorization.

101110110102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698113 (or 698106 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101110110102100 its reverse (1201011011101), we get a palindrome (102311121113201).

Subtracting from 101110110102100 its reverse (1201011011101), we obtain a palindrome (99909099090999).

The spelling of 101110110102100 in words is "one hundred one trillion, one hundred ten billion, one hundred ten million, one hundred two thousand, one hundred".