201002101102101 has 32 divisors (see below), whose sum is σ = 289257560661888. Its totient is φ = 123419689620480.

The previous prime is 201002101102073. The next prime is 201002101102129. The reversal of 201002101102101 is 101201101200102.

It is an interprime number because it is at equal distance from previous prime (201002101102073) and next prime (201002101102129).

It is not a de Polignac number, because 201002101102101 - 2⁵ = 201002101102069 is a prime.

It is a super-2 number, since 2×201002101102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002101109101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797827585 + ... + 798079481.

It is an arithmetic number, because the mean of its divisors is an integer number (9039298770684).

Almost surely, 2^{201002101102101} is an apocalyptic number.

It is an amenable number.

201002101102101 is a deficient number, since it is larger than the sum of its proper divisors (88255459559787).

201002101102101 is a wasteful number, since it uses less digits than its factorization.

201002101102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297141.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201002101102101 its reverse (101201101200102), we get a palindrome (302203202302203).

The spelling of 201002101102101 in words is "two hundred one trillion, two billion, one hundred one million, one hundred two thousand, one hundred one".