102011121100110 has 384 divisors, whose sum is σ = 273808288396800. Its totient is φ = 24237698688000.

The previous prime is 102011121100033. The next prime is 102011121100117. The reversal of 102011121100110 is 11001121110201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011121100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21301129596 + ... + 21301134384.

It is an arithmetic number, because the mean of its divisors is an integer number (713042417700).

Almost surely, 2^{102011121100110} is an apocalyptic number.

102011121100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102011121100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136904144198400).

102011121100110 is an abundant number, since it is smaller than the sum of its proper divisors (171797167296690).

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

102011121100110 is a wasteful number, since it uses less digits than its factorization.

102011121100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5968 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102011121100110 its reverse (11001121110201), we get a palindrome (113012242210311).

It can be divided in two parts, 102011 and 121100110, that added together give a palindrome (121202121).

The spelling of 102011121100110 in words is "one hundred two trillion, eleven billion, one hundred twenty-one million, one hundred thousand, one hundred ten".