10020202202010 has 1152 divisors, whose sum is σ = 34278566494464. Its totient is φ = 1851349893120.

The previous prime is 10020202201991. The next prime is 10020202202053. The reversal of 10020202202010 is 1020220202001.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 11425543692 + ... + 11425544568.

It is an arithmetic number, because the mean of its divisors is an integer number (29755700082).

Almost surely, 2^{10020202202010} is an apocalyptic number.

10020202202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020202202010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17139283247232).

10020202202010 is an abundant number, since it is smaller than the sum of its proper divisors (24258364292454).

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

10020202202010 is a wasteful number, since it uses less digits than its factorization.

10020202202010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10020202202010 its reverse (1020220202001), we get a palindrome (11040422404011).

Subtracting from 10020202202010 its reverse (1020220202001), we obtain a square (8999982000009 = 2999997²).

The spelling of 10020202202010 in words is "ten trillion, twenty billion, two hundred two million, two hundred two thousand, ten".