210002212120100 has 144 divisors (see below), whose sum is σ = 471543188637696. Its totient is φ = 81094571712000.

The previous prime is 210002212119991. The next prime is 210002212120117. The reversal of 210002212120100 is 1021212200012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6253585310 + ... + 6253618890.

Almost surely, 2^{210002212120100} is an apocalyptic number.

210002212120100 is a gapful number since it is divisible by the number (20) 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 210002212120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235771594318848).

210002212120100 is an abundant number, since it is smaller than the sum of its proper divisors (261540976517596).

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

210002212120100 is a wasteful number, since it uses less digits than its factorization.

210002212120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38446 (or 38439 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210002212120100 its reverse (1021212200012), we get a palindrome (211023424320112).

The spelling of 210002212120100 in words is "two hundred ten trillion, two billion, two hundred twelve million, one hundred twenty thousand, one hundred".