122111001100 has 288 divisors, whose sum is σ = 303192594432. Its totient is φ = 42301440000.

The previous prime is 122111001073. The next prime is 122111001127. The reversal of 122111001100 is 1100111221.

It is an interprime number because it is at equal distance from previous prime (122111001073) and next prime (122111001127).

It is a super-2 number, since 2×122111001100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 450593965 + ... + 450594235.

It is an arithmetic number, because the mean of its divisors is an integer number (1052752064).

Almost surely, 2^122111001100 is an apocalyptic number.

122111001100 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 122111001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151596297216).

122111001100 is an abundant number, since it is smaller than the sum of its proper divisors (181081593332).

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

122111001100 is a wasteful number, since it uses less digits than its factorization.

122111001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 122111001100 its reverse (1100111221), we get a palindrome (123211112321).

It can be divided in two parts, 12 and 2111001100, that added together give a palindrome (2111001112).

The spelling of 122111001100 in words is "one hundred twenty-two billion, one hundred eleven million, one thousand, one hundred".