122101210122000 has 320 divisors, whose sum is σ = 404374656651264. Its totient is φ = 31673963059200.

The previous prime is 122101210121977. The next prime is 122101210122007. The reversal of 122101210122000 is 221012101221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (122101210122007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1162561489 + ... + 1162666511.

Almost surely, 2^{122101210122000} is an apocalyptic number.

122101210122000 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 122101210122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202187328325632).

122101210122000 is an abundant number, since it is smaller than the sum of its proper divisors (282273446529264).

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

122101210122000 is a wasteful number, since it uses less digits than its factorization.

122101210122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110323 (or 110307 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122101210122000 its reverse (221012101221), we get a palindrome (122322222223221).

The spelling of 122101210122000 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred ten million, one hundred twenty-two thousand".