121011012100 has 144 divisors (see below), whose sum is σ = 294565646592. Its totient is φ = 42768000000.

The previous prime is 121011012071. The next prime is 121011012151. The reversal of 121011012100 is 1210110121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12217150 + ... + 12227050.

It is an arithmetic number, because the mean of its divisors is an integer number (2045594768).

Almost surely, 2^121011012100 is an apocalyptic number.

121011012100 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 121011012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147282823296).

121011012100 is an abundant number, since it is smaller than the sum of its proper divisors (173554634492).

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

121011012100 is a wasteful number, since it uses less digits than its factorization.

121011012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10238 (or 10231 counting only the distinct ones).

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

Adding to 121011012100 its reverse (1210110121), we get a palindrome (122221122221).

121011012100 divided by its reverse (1210110121) gives a square (100 = 10²).

It can be divided in two parts, 12101 and 1012100, that added together give a palindrome (1024201).

The spelling of 121011012100 in words is "one hundred twenty-one billion, eleven million, twelve thousand, one hundred".