122144002322100 has 144 divisors (see below), whose sum is σ = 385583424206400. Its totient is φ = 29606632140800.

The previous prime is 122144002322057. The next prime is 122144002322101. The reversal of 122144002322100 is 1223200441221.

It is a super-2 number, since 2×122144002322100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122144002322101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21733444 + ... + 26769956.

It is an arithmetic number, because the mean of its divisors is an integer number (2677662668100).

Almost surely, 2^{122144002322100} is an apocalyptic number.

122144002322100 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 122144002322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192791712103200).

122144002322100 is an abundant number, since it is smaller than the sum of its proper divisors (263439421884300).

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

122144002322100 is a wasteful number, since it uses less digits than its factorization.

122144002322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043890 (or 5043883 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 122144002322100 its reverse (1223200441221), we get a palindrome (123367202763321).

The spelling of 122144002322100 in words is "one hundred twenty-two trillion, one hundred forty-four billion, two million, three hundred twenty-two thousand, one hundred".