102122120211100 has 108 divisors (see below), whose sum is σ = 244168208968824. Its totient is φ = 36767636000000.

The previous prime is 102122120211091. The next prime is 102122120211101. The reversal of 102122120211100 is 1112021221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122120211101) 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 35 ways as a sum of consecutive naturals, for example, 6670650 + ... + 15771550.

Almost surely, 2^{102122120211100} is an apocalyptic number.

102122120211100 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 102122120211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122084104484412).

102122120211100 is an abundant number, since it is smaller than the sum of its proper divisors (142046088757724).

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

102122120211100 is a wasteful number, since it uses less digits than its factorization.

102122120211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101128 (or 9101020 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102122120211100 its reverse (1112021221201), we get a palindrome (103234141432301).

The spelling of 102122120211100 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred eleven thousand, one hundred".