10002202013100 has 1152 divisors, whose sum is σ = 36226551352320. Its totient is φ = 2099036160000.

The previous prime is 10002202013077. The next prime is 10002202013129. The reversal of 10002202013100 is 131020220001.

It is a super-2 number, since 2×10002202013100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5705761824 + ... + 5705763576.

It is an arithmetic number, because the mean of its divisors is an integer number (31446659160).

Almost surely, 2^{10002202013100} is an apocalyptic number.

10002202013100 is a gapful number since it is divisible by the number (10) 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 10002202013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113275676160).

10002202013100 is an abundant number, since it is smaller than the sum of its proper divisors (26224349339220).

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

10002202013100 is a wasteful number, since it uses less digits than its factorization.

10002202013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10002202013100 its reverse (131020220001), we get a palindrome (10133222233101).

The spelling of 10002202013100 in words is "ten trillion, two billion, two hundred two million, thirteen thousand, one hundred".