20102121002000 has 160 divisors (see below), whose sum is σ = 51750518942304. Its totient is φ = 7526043648000.

The previous prime is 20102121001997. The next prime is 20102121002021. The reversal of 20102121002000 is 20012120102.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 18619259520016 + 1482861481984 = 4315004^2 + 1217728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4520744 + ... + 7787256.

Almost surely, 2^{20102121002000} is an apocalyptic number.

20102121002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102121002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25875259471152).

20102121002000 is an abundant number, since it is smaller than the sum of its proper divisors (31648397940304).

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

20102121002000 is a wasteful number, since it uses less digits than its factorization.

20102121002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266734 (or 3266718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20102121002000 its reverse (20012120102), we get a palindrome (20122133122102).

The spelling of 20102121002000 in words is "twenty trillion, one hundred two billion, one hundred twenty-one million, two thousand".