122101000121100 has 2304 divisors, whose sum is σ = 511555482353664. Its totient is φ = 21658171392000.

The previous prime is 122101000121069. The next prime is 122101000121129. The reversal of 122101000121100 is 1121000101221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 42677733670 + ... + 42677736530.

It is an arithmetic number, because the mean of its divisors is an integer number (222029289216).

Almost surely, 2^{122101000121100} is an apocalyptic number.

122101000121100 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 122101000121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255777741176832).

122101000121100 is an abundant number, since it is smaller than the sum of its proper divisors (389454482232564).

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

122101000121100 is a wasteful number, since it uses less digits than its factorization.

122101000121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122101000121100 its reverse (1121000101221), we get a palindrome (123222000222321).

The spelling of 122101000121100 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty-one thousand, one hundred".