10210101202002 has 128 divisors (see below), whose sum is σ = 22454510432256. Its totient is φ = 3076100946432.

The previous prime is 10210101201977. The next prime is 10210101202013. The reversal of 10210101202002 is 20020210101201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 570292183 + ... + 570310085.

It is an arithmetic number, because the mean of its divisors is an integer number (175425862752).

Almost surely, 2^{10210101202002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210101202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11227255216128).

10210101202002 is an abundant number, since it is smaller than the sum of its proper divisors (12244409230254).

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

10210101202002 is a wasteful number, since it uses less digits than its factorization.

10210101202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18784.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10210101202002 its reverse (20020210101201), we get a palindrome (30230311303203).

The spelling of 10210101202002 in words is "ten trillion, two hundred ten billion, one hundred one million, two hundred two thousand, two".