2101135040101 has 8 divisors (see below), whose sum is σ = 2102773584600. Its totient is φ = 2099496655872.

The previous prime is 2101135040033. The next prime is 2101135040107. The reversal of 2101135040101 is 1010405311012.

It can be written as a sum of positive squares in 4 ways, for example, as 607777719201 + 1493357320900 = 779601^2 + 1222030^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2101135040101 - 2⁷ = 2101135039973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101135040107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47825721 + ... + 47869633.

It is an arithmetic number, because the mean of its divisors is an integer number (262846698075).

Almost surely, 2^{2101135040101} is an apocalyptic number.

It is an amenable number.

2101135040101 is a deficient number, since it is larger than the sum of its proper divisors (1638544499).

2101135040101 is a wasteful number, since it uses less digits than its factorization.

2101135040101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80135.

The product of its (nonzero) digits is 120, while the sum is 19.

The spelling of 2101135040101 in words is "two trillion, one hundred one billion, one hundred thirty-five million, forty thousand, one hundred one".