122101211212002 has 96 divisors (see below), whose sum is σ = 299320003067904. Its totient is φ = 36996887538000.

The previous prime is 122101211211979. The next prime is 122101211212037. The reversal of 122101211212002 is 200212112101221.

122101211212002 is a `hidden beast` number, since 1 + 221 + 0 + 121 + 121 + 200 + 2 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 56064127 + ... + 58201277.

It is an arithmetic number, because the mean of its divisors is an integer number (3117916698624).

Almost surely, 2^{122101211212002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122101211212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149660001533952).

122101211212002 is an abundant number, since it is smaller than the sum of its proper divisors (177218791855902).

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

122101211212002 is a wasteful number, since it uses less digits than its factorization.

122101211212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147866 (or 2147854 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122101211212002 its reverse (200212112101221), we get a palindrome (322313323313223).

The spelling of 122101211212002 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred eleven million, two hundred twelve thousand, two".