10200212110100 has 18 divisors (see below), whose sum is σ = 22134460279134. Its totient is φ = 4080084844000.

The previous prime is 10200212110091. The next prime is 10200212110141. The reversal of 10200212110100 is 101121200201.

It can be written as a sum of positive squares in 3 ways, for example, as 3221981920144 + 6978230189956 = 1794988^2 + 2641634^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51001060451 + ... + 51001060650.

Almost surely, 2^{10200212110100} is an apocalyptic number.

10200212110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200212110100 is an abundant number, since it is smaller than the sum of its proper divisors (11934248169034).

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

10200212110100 is a wasteful number, since it uses less digits than its factorization.

10200212110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102002121115 (or 102002121108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10200212110100 its reverse (101121200201), we get a palindrome (10301333310301).

The spelling of 10200212110100 in words is "ten trillion, two hundred billion, two hundred twelve million, one hundred ten thousand, one hundred".