102012222012100 has 135 divisors (see below), whose sum is σ = 228963250397805. Its totient is φ = 39451029660000.

The previous prime is 102012222012083. The next prime is 102012222012109. The reversal of 102012222012100 is 1210222210201.

It is a happy number.

The square root of 102012222012100 is 10100110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36724399924356 + 65287822087744 = 6060066^2 + 8080088^2 .

It is not an unprimeable number, because it can be changed into a prime (102012222012109) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 97062056575 + ... + 97062057625.

Almost surely, 2^{102012222012100} is an apocalyptic number.

102012222012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102012222012100 is the 10100110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102012222012100

102012222012100 is an abundant number, since it is smaller than the sum of its proper divisors (126951028385705).

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

102012222012100 is an frugal number, since it uses more digits than its factorization.

102012222012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102012222012100 its reverse (1210222210201), we get a palindrome (103222444222301).

The spelling of 102012222012100 in words is "one hundred two trillion, twelve billion, two hundred twenty-two million, twelve thousand, one hundred".