121100212100 has 216 divisors, whose sum is σ = 311873351328. Its totient is φ = 40688793600.

The previous prime is 121100212091. The next prime is 121100212117. The reversal of 121100212100 is 1212001121.

It is a super-2 number, since 2×121100212100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53276564 + ... + 53278836.

It is an arithmetic number, because the mean of its divisors is an integer number (1443858108).

Almost surely, 2^121100212100 is an apocalyptic number.

121100212100 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 121100212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155936675664).

121100212100 is an abundant number, since it is smaller than the sum of its proper divisors (190773139228).

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

121100212100 is a wasteful number, since it uses less digits than its factorization.

121100212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 121100212100 its reverse (1212001121), we get a palindrome (122312213221).

The spelling of 121100212100 in words is "one hundred twenty-one billion, one hundred million, two hundred twelve thousand, one hundred".