122011312100010 has 128 divisors (see below), whose sum is σ = 307189950971904. Its totient is φ = 30978412312320.

The previous prime is 122011312100009. The next prime is 122011312100071. The reversal of 122011312100010 is 10001213110221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326971599 + ... + 327344541.

It is an arithmetic number, because the mean of its divisors is an integer number (2399921491968).

Almost surely, 2^{122011312100010} is an apocalyptic number.

122011312100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122011312100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153594975485952).

122011312100010 is an abundant number, since it is smaller than the sum of its proper divisors (185178638871894).

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

122011312100010 is a wasteful number, since it uses less digits than its factorization.

122011312100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379308.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 122011312100010 its reverse (10001213110221), we get a palindrome (132012525210231).

The spelling of 122011312100010 in words is "one hundred twenty-two trillion, eleven billion, three hundred twelve million, one hundred thousand, ten".