122111002201100 has 36 divisors (see below), whose sum is σ = 289070045213208. Its totient is φ = 44404000800000.

The previous prime is 122111002201093. The next prime is 122111002201103. The reversal of 122111002201100 is 1102200111221.

122111002201100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×122111002201100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (122111002201103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55504999901 + ... + 55505002100.

Almost surely, 2^{122111002201100} is an apocalyptic number.

122111002201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111002201100 is an abundant number, since it is smaller than the sum of its proper divisors (166959043012108).

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

122111002201100 is a wasteful number, since it uses less digits than its factorization.

122111002201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111010002026 (or 111010002019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122111002201100 its reverse (1102200111221), we get a palindrome (123213202312321).

The spelling of 122111002201100 in words is "one hundred twenty-two trillion, one hundred eleven billion, two million, two hundred one thousand, one hundred".