102001121000 has 32 divisors (see below), whose sum is σ = 238682625480. Its totient is φ = 40800448000.

The previous prime is 102001120993. The next prime is 102001121029. The reversal of 102001121000 is 121100201.

It can be written as a sum of positive squares in 4 ways, for example, as 47322781444 + 54678339556 = 217538^2 + 233834^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 50999561 + ... + 51001560.

Almost surely, 2^102001121000 is an apocalyptic number.

102001121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001121000 is an abundant number, since it is smaller than the sum of its proper divisors (136681504480).

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

102001121000 is a wasteful number, since it uses less digits than its factorization.

102001121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102001142 (or 102001128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102001121000 its reverse (121100201), we get a palindrome (102122221201).

The spelling of 102001121000 in words is "one hundred two billion, one million, one hundred twenty-one thousand".