2110010102101 has 8 divisors (see below), whose sum is σ = 2308659560064. Its totient is φ = 1912499037120.

The previous prime is 2110010102033. The next prime is 2110010102129. The reversal of 2110010102101 is 1012010100112.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2110010102101 is a prime.

It is a super-2 number, since 2×2110010102101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110010102201) 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, 284594365 + ... + 284601778.

It is an arithmetic number, because the mean of its divisors is an integer number (288582445008).

Almost surely, 2^{2110010102101} is an apocalyptic number.

It is an amenable number.

2110010102101 is a deficient number, since it is larger than the sum of its proper divisors (198649457963).

2110010102101 is a wasteful number, since it uses less digits than its factorization.

2110010102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569196491.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2110010102101 its reverse (1012010100112), we get a palindrome (3122020202213).

The spelling of 2110010102101 in words is "two trillion, one hundred ten billion, ten million, one hundred two thousand, one hundred one".