1110010102101 has 96 divisors (see below), whose sum is σ = 1769687442432. Its totient is φ = 693811578240.

The previous prime is 1110010102067. The next prime is 1110010102109. The reversal of 1110010102101 is 1012010100111.

It is not a de Polignac number, because 1110010102101 - 2⁹ = 1110010101589 is a prime.

It is a super-2 number, since 2×1110010102101² (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110010102109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66495166 + ... + 66511856.

It is an arithmetic number, because the mean of its divisors is an integer number (18434244192).

Almost surely, 2^{1110010102101} is an apocalyptic number.

It is an amenable number.

1110010102101 is a deficient number, since it is larger than the sum of its proper divisors (659677340331).

1110010102101 is a wasteful number, since it uses less digits than its factorization.

1110010102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16965 (or 16953 counting only the distinct ones).

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

Adding to 1110010102101 its reverse (1012010100111), we get a palindrome (2122020202212).

The spelling of 1110010102101 in words is "one trillion, one hundred ten billion, ten million, one hundred two thousand, one hundred one".