212002012103100 has 288 divisors, whose sum is σ = 650139371917056. Its totient is φ = 53153902694400.

The previous prime is 212002012103087. The next prime is 212002012103207. The reversal of 212002012103100 is 1301210200212.

It is a super-2 number, since 2×212002012103100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212002012103100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26098975639 + ... + 26098983761.

It is an arithmetic number, because the mean of its divisors is an integer number (2257428374712).

Almost surely, 2^{212002012103100} is an apocalyptic number.

212002012103100 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 212002012103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325069685958528).

212002012103100 is an abundant number, since it is smaller than the sum of its proper divisors (438137359813956).

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

212002012103100 is a wasteful number, since it uses less digits than its factorization.

212002012103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12765 (or 12758 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212002012103100 its reverse (1301210200212), we get a palindrome (213303222303312).

The spelling of 212002012103100 in words is "two hundred twelve trillion, two billion, twelve million, one hundred three thousand, one hundred".