1111012101 has 24 divisors (see below), whose sum is σ = 1716735384. Its totient is φ = 689909760.

The previous prime is 1111012087. The next prime is 1111012109. The reversal of 1111012101 is 1012101111.

It can be written as a sum of positive squares in 4 ways, for example, as 487261476 + 623750625 = 22074^2 + 24975^2 .

It is not a de Polignac number, because 1111012101 - 2⁶ = 1111012037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111012109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22590 + ... + 52271.

It is an arithmetic number, because the mean of its divisors is an integer number (71530641).

Almost surely, 2^1111012101 is an apocalyptic number.

It is an amenable number.

1111012101 is a deficient number, since it is larger than the sum of its proper divisors (605723283).

1111012101 is a wasteful number, since it uses less digits than its factorization.

1111012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74981 (or 74978 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 1111012101 is about 33331.8481485801. The cubic root of 1111012101 is about 1035.7134029939.

Adding to 1111012101 its reverse (1012101111), we get a palindrome (2123113212).

It can be divided in two parts, 111 and 1012101, that multiplied together give a palindrome (112343211).

The spelling of 1111012101 in words is "one billion, one hundred eleven million, twelve thousand, one hundred one".