122111020110100 has 54 divisors (see below), whose sum is σ = 308243103633150. Its totient is φ = 41866635464640.

The previous prime is 122111020110089. The next prime is 122111020110127. The reversal of 122111020110100 is 1011020111221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 30503992933764 + 91607027176336 = 5523042^2 + 9571156^2 .

It is a super-2 number, since 2×122111020110100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12460303275 + ... + 12460313074.

Almost surely, 2^{122111020110100} is an apocalyptic number.

122111020110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111020110100 is an abundant number, since it is smaller than the sum of its proper divisors (186132083523050).

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

122111020110100 is a wasteful number, since it uses less digits than its factorization.

122111020110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24920616377 (or 24920616363 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122111020110100 its reverse (1011020111221), we get a palindrome (123122040221321).

The spelling of 122111020110100 in words is "one hundred twenty-two trillion, one hundred eleven billion, twenty million, one hundred ten thousand, one hundred".