122102331011100 has 648 divisors, whose sum is σ = 429585415773696. Its totient is φ = 28768322880000.

The previous prime is 122102331011057. The next prime is 122102331011161. The reversal of 122102331011100 is 1110133201221.

Added to its reverse (1110133201221) it gives a square (123212464212321 = 11100111²).

122102331011100 is a `hidden beast` number, since 1 + 221 + 0 + 2 + 331 + 0 + 1 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13431117555 + ... + 13431126645.

Almost surely, 2^{122102331011100} is an apocalyptic number.

122102331011100 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 122102331011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214792707886848).

122102331011100 is an abundant number, since it is smaller than the sum of its proper divisors (307483084762596).

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

122102331011100 is a wasteful number, since it uses less digits than its factorization.

122102331011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10187 (or 10140 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122102331011100 its reverse (1110133201221), we get a palindrome (123212464212321).

The spelling of 122102331011100 in words is "one hundred twenty-two trillion, one hundred two billion, three hundred thirty-one million, eleven thousand, one hundred".