102120000221101 has 12 divisors (see below), whose sum is σ = 106929502245180. Its totient is φ = 97410685520960.

The previous prime is 102120000221047. The next prime is 102120000221119. The reversal of 102120000221101 is 101122000021201.

It can be written as a sum of positive squares in 2 ways, for example, as 27433658421225 + 74686341799876 = 5237715^2 + 8642126^2 .

It is not a de Polignac number, because 102120000221101 - 2³⁹ = 101570244407213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120000221131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255380080 + ... + 255779641.

It is an arithmetic number, because the mean of its divisors is an integer number (8910791853765).

Almost surely, 2^{102120000221101} is an apocalyptic number.

It is an amenable number.

102120000221101 is a deficient number, since it is larger than the sum of its proper divisors (4809502024079).

102120000221101 is an frugal number, since it uses more digits than its factorization.

102120000221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511159916 (or 511159833 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102120000221101 its reverse (101122000021201), we get a palindrome (203242000242302).

The spelling of 102120000221101 in words is "one hundred two trillion, one hundred twenty billion, two hundred twenty-one thousand, one hundred one".