121000201101000 has 192 divisors, whose sum is σ = 440440732433520. Its totient is φ = 29784664857600.

The previous prime is 121000201100971. The next prime is 121000201101001. The reversal of 121000201101000 is 101102000121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3497939797284 + 117502261303716 = 1870278^2 + 10839846^2 .

It is a super-2 number, since 2×121000201101000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (121000201101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516977877 + ... + 517211876.

Almost surely, 2^{121000201101000} is an apocalyptic number.

121000201101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121000201101000 is an abundant number, since it is smaller than the sum of its proper divisors (319440531332520).

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

121000201101000 is a wasteful number, since it uses less digits than its factorization.

121000201101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034189793 (or 1034189776 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121000201101000 its reverse (101102000121), we get a palindrome (121101303101121).

The spelling of 121000201101000 in words is "one hundred twenty-one trillion, two hundred one million, one hundred one thousand".