10202200234002 has 64 divisors (see below), whose sum is σ = 25917242630400. Its totient is φ = 2914138909440.

The previous prime is 10202200233971. The next prime is 10202200234021. The reversal of 10202200234002 is 20043200220201.

10202200234002 is a `hidden beast` number, since 1 + 0 + 20 + 220 + 0 + 23 + 400 + 2 = 666.

It is a super-2 number, since 2×10202200234002² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2166477 + ... + 5009792.

It is an arithmetic number, because the mean of its divisors is an integer number (404956916100).

Almost surely, 2^{10202200234002} is an apocalyptic number.

10202200234002 is an abundant number, since it is smaller than the sum of its proper divisors (15715042396398).

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

10202200234002 is a wasteful number, since it uses less digits than its factorization.

10202200234002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7180048 (or 7180042 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10202200234002 its reverse (20043200220201), we get a palindrome (30245400454203).

The spelling of 10202200234002 in words is "ten trillion, two hundred two billion, two hundred million, two hundred thirty-four thousand, two".