101020021002001 has 64 divisors (see below), whose sum is σ = 107798179993920. Its totient is φ = 94527813058560.

The previous prime is 101020021001953. The next prime is 101020021002073. The reversal of 101020021002001 is 100200120020101.

It can be written as a sum of positive squares in 32 ways, for example, as 64253370272400 + 36766650729601 = 8015820^2 + 6063551^2 .

It is not a de Polignac number, because 101020021002001 - 2⁹ = 101020021001489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101020021002091) 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, 11690774641 + ... + 11690783281.

It is an arithmetic number, because the mean of its divisors is an integer number (1684346562405).

Almost surely, 2^{101020021002001} is an apocalyptic number.

It is an amenable number.

101020021002001 is a deficient number, since it is larger than the sum of its proper divisors (6778158991919).

101020021002001 is a wasteful number, since it uses less digits than its factorization.

101020021002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9286.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101020021002001 its reverse (100200120020101), we get a palindrome (201220141022102).

The spelling of 101020021002001 in words is "one hundred one trillion, twenty billion, twenty-one million, two thousand, one".