2032121114010 has 288 divisors, whose sum is σ = 5867684550000. Its totient is φ = 487436451840.

The previous prime is 2032121113973. The next prime is 2032121114053. The reversal of 2032121114010 is 104111212302.

2032121114010 is a `hidden beast` number, since 20 + 32 + 1 + 211 + 1 + 401 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1043407089729 + 988714024281 = 1021473^2 + 994341^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 778887586 + ... + 778890194.

Almost surely, 2^{2032121114010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032121114010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933842275000).

2032121114010 is an abundant number, since it is smaller than the sum of its proper divisors (3835563435990).

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

2032121114010 is a wasteful number, since it uses less digits than its factorization.

2032121114010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2032121114010 its reverse (104111212302), we get a palindrome (2136232326312).

The spelling of 2032121114010 in words is "two trillion, thirty-two billion, one hundred twenty-one million, one hundred fourteen thousand, ten".