121221201001000 has 32 divisors (see below), whose sum is σ = 283657610344680. Its totient is φ = 48488480400000.

The previous prime is 121221201000973. The next prime is 121221201001013. The reversal of 121221201001000 is 100102122121.

It can be written as a sum of positive squares in 4 ways, for example, as 60122872163236 + 61098328837764 = 7753894^2 + 7816542^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60610599501 + ... + 60610601500.

Almost surely, 2^{121221201001000} is an apocalyptic number.

121221201001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221201001000 is an abundant number, since it is smaller than the sum of its proper divisors (162436409343680).

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

121221201001000 is a wasteful number, since it uses less digits than its factorization.

121221201001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121221201022 (or 121221201008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121221201001000 its reverse (100102122121), we get a palindrome (121321303123121).

The spelling of 121221201001000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred one million, one thousand".