102011202121000 has 64 divisors (see below), whose sum is σ = 238718370618000. Its totient is φ = 40802402617600.

The previous prime is 102011202120983. The next prime is 102011202121007. The reversal of 102011202121000 is 121202110201.

It can be written as a sum of positive squares in 8 ways, for example, as 236719225444 + 101774482895556 = 486538^2 + 10088334^2 .

It is not an unprimeable number, because it can be changed into a prime (102011202121007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17121066 + ... + 22296934.

Almost surely, 2^{102011202121000} is an apocalyptic number.

102011202121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011202121000 is an abundant number, since it is smaller than the sum of its proper divisors (136707168497000).

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

102011202121000 is a wasteful number, since it uses less digits than its factorization.

102011202121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195599 (or 5195585 counting only the distinct ones).

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

Adding to 102011202121000 its reverse (121202110201), we get a palindrome (102132404231201).

The spelling of 102011202121000 in words is "one hundred two trillion, eleven billion, two hundred two million, one hundred twenty-one thousand".