102200221001012 has 12 divisors (see below), whose sum is σ = 178865108244900. Its totient is φ = 51095904359616.

The previous prime is 102200221001009. The next prime is 102200221001051. The reversal of 102200221001012 is 210100122002201.

102200221001012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 99642799551376 + 2557421449636 = 9982124^2 + 1599194^2 .

It is a super-3 number, since 3×102200221001012³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1051480553 + ... + 1051577744.

It is an arithmetic number, because the mean of its divisors is an integer number (14905425687075).

Almost surely, 2^{102200221001012} is an apocalyptic number.

It is an amenable number.

102200221001012 is a deficient number, since it is larger than the sum of its proper divisors (76664887243888).

102200221001012 is a wasteful number, since it uses less digits than its factorization.

102200221001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103070450 (or 2103070448 counting only the distinct ones).

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

Adding to 102200221001012 its reverse (210100122002201), we get a palindrome (312300343003213).

The spelling of 102200221001012 in words is "one hundred two trillion, two hundred billion, two hundred twenty-one million, one thousand, twelve".