1102011110201 has 16 divisors (see below), whose sum is σ = 1195354834128. Its totient is φ = 1011838771200.

The previous prime is 1102011110129. The next prime is 1102011110243. The reversal of 1102011110201 is 1020111102011.

It can be written as a sum of positive squares in 8 ways, for example, as 88161486400 + 1013849623801 = 296920^2 + 1006901^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102011110201 - 2¹⁴ = 1102011093817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102011110251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26962541 + ... + 27003381.

It is an arithmetic number, because the mean of its divisors is an integer number (74709677133).

Almost surely, 2^{1102011110201} is an apocalyptic number.

It is an amenable number.

1102011110201 is a deficient number, since it is larger than the sum of its proper divisors (93343723927).

1102011110201 is a wasteful number, since it uses less digits than its factorization.

1102011110201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79612.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1102011110201 its reverse (1020111102011), we get a palindrome (2122122212212).

The spelling of 1102011110201 in words is "one trillion, one hundred two billion, eleven million, one hundred ten thousand, two hundred one".