102000110222101 has 64 divisors (see below), whose sum is σ = 133171159726080. Its totient is φ = 75814498713600.

The previous prime is 102000110222077. The next prime is 102000110222137. The reversal of 102000110222101 is 101222011000201.

It is a cyclic number.

It is not a de Polignac number, because 102000110222101 - 2²¹ = 102000108124949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000110222201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7044685780 + ... + 7044700258.

It is an arithmetic number, because the mean of its divisors is an integer number (2080799370720).

Almost surely, 2^{102000110222101} is an apocalyptic number.

It is an amenable number.

102000110222101 is a deficient number, since it is larger than the sum of its proper divisors (31171049503979).

102000110222101 is a wasteful number, since it uses less digits than its factorization.

102000110222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22694.

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

Adding to 102000110222101 its reverse (101222011000201), we get a palindrome (203222121222302).

The spelling of 102000110222101 in words is "one hundred two trillion, one hundred ten million, two hundred twenty-two thousand, one hundred one".