1102106102101 has 4 divisors (see below), whose sum is σ = 1109502787500. Its totient is φ = 1094709416704.

The previous prime is 1102106102077. The next prime is 1102106102131. The reversal of 1102106102101 is 1012016012011.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 56906579601 + 1045199522500 = 238551^2 + 1022350^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102106102101 - 2²⁷ = 1101971884373 is a prime.

It is a super-2 number, since 2×1102106102101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102106102131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3698342476 + ... + 3698342773.

It is an arithmetic number, because the mean of its divisors is an integer number (277375696875).

Almost surely, 2^{1102106102101} is an apocalyptic number.

It is an amenable number.

1102106102101 is a deficient number, since it is larger than the sum of its proper divisors (7396685399).

1102106102101 is an equidigital number, since it uses as much as digits as its factorization.

1102106102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7396685398.

The product of its (nonzero) digits is 24, while the sum is 16.

The spelling of 1102106102101 in words is "one trillion, one hundred two billion, one hundred six million, one hundred two thousand, one hundred one".