101020021002201 has 64 divisors (see below), whose sum is σ = 160209155432448. Its totient is φ = 55420305178368.

The previous prime is 101020021002191. The next prime is 101020021002211. The reversal of 101020021002201 is 102200120020101.

It is an interprime number because it is at equal distance from previous prime (101020021002191) and next prime (101020021002211).

It is not a de Polignac number, because 101020021002201 - 2⁷ = 101020021002073 is a prime.

It is a super-2 number, since 2×101020021002201² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101020021002211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261518935 + ... + 261904931.

It is an arithmetic number, because the mean of its divisors is an integer number (2503268053632).

Almost surely, 2^{101020021002201} is an apocalyptic number.

It is an amenable number.

101020021002201 is a deficient number, since it is larger than the sum of its proper divisors (59189134430247).

101020021002201 is a wasteful number, since it uses less digits than its factorization.

101020021002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391110.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101020021002201 its reverse (102200120020101), we get a palindrome (203220141022302).

The spelling of 101020021002201 in words is "one hundred one trillion, twenty billion, twenty-one million, two thousand, two hundred one".