121100210002000 has 40 divisors (see below), whose sum is σ = 292820307789672. Its totient is φ = 48440084000000.

The previous prime is 121100210001857. The next prime is 121100210002003. The reversal of 121100210002000 is 200012001121.

It can be written as a sum of positive squares in 4 ways, for example, as 11776372715584 + 109323837286416 = 3431672^2 + 10455804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 (121100210002003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30275050501 + ... + 30275054500.

Almost surely, 2^{121100210002000} is an apocalyptic number.

121100210002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121100210002000 is an abundant number, since it is smaller than the sum of its proper divisors (171720097787672).

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

121100210002000 is an equidigital number, since it uses as much as digits as its factorization.

121100210002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60550105024 (or 60550105008 counting only the distinct ones).

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

Adding to 121100210002000 its reverse (200012001121), we get a palindrome (121300222003121).

The spelling of 121100210002000 in words is "one hundred twenty-one trillion, one hundred billion, two hundred ten million, two thousand".