121201002100 has 144 divisors (see below), whose sum is σ = 279332121600. Its totient is φ = 45576760320.

The previous prime is 121201002079. The next prime is 121201002103. The reversal of 121201002100 is 1200102121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201002103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16720677 + ... + 16727923.

It is an arithmetic number, because the mean of its divisors is an integer number (1939806400).

Almost surely, 2^121201002100 is an apocalyptic number.

121201002100 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 121201002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139666060800).

121201002100 is an abundant number, since it is smaller than the sum of its proper divisors (158131119500).

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

121201002100 is a wasteful number, since it uses less digits than its factorization.

121201002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7442 (or 7435 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121201002100 its reverse (1200102121), we get a palindrome (122401104221).

The spelling of 121201002100 in words is "one hundred twenty-one billion, two hundred one million, two thousand, one hundred".