122101212011100 has 72 divisors (see below), whose sum is σ = 403748007723648. Its totient is φ = 27908848459200.

The previous prime is 122101212011087. The next prime is 122101212011113. The reversal of 122101212011100 is 1110212101221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122101212011087) and next prime (122101212011113).

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

It is a self number, because there is not a number n which added to its sum of digits gives 122101212011100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29071715046 + ... + 29071719245.

It is an arithmetic number, because the mean of its divisors is an integer number (5607611218384).

Almost surely, 2^{122101212011100} is an apocalyptic number.

122101212011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101212011100 is an abundant number, since it is smaller than the sum of its proper divisors (281646795712548).

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

122101212011100 is a wasteful number, since it uses less digits than its factorization.

122101212011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58143434315 (or 58143434308 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122101212011100 its reverse (1110212101221), we get a palindrome (123211424112321).

The spelling of 122101212011100 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twelve million, eleven thousand, one hundred".