101020110201021 has 64 divisors (see below), whose sum is σ = 153393752678400. Its totient is φ = 58579325798400.

The previous prime is 101020110201019. The next prime is 101020110201107. The reversal of 101020110201021 is 120102011020101.

It is not a de Polignac number, because 101020110201021 - 2¹ = 101020110201019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101020110200988 and 101020110201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020110241021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1585915845 + ... + 1585979541.

It is an arithmetic number, because the mean of its divisors is an integer number (2396777385600).

Almost surely, 2^{101020110201021} is an apocalyptic number.

101020110201021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101020110201021 is a deficient number, since it is larger than the sum of its proper divisors (52373642477379).

101020110201021 is a wasteful number, since it uses less digits than its factorization.

101020110201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81250.

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

Adding to 101020110201021 its reverse (120102011020101), we get a palindrome (221122121221122).

The spelling of 101020110201021 in words is "one hundred one trillion, twenty billion, one hundred ten million, two hundred one thousand, twenty-one".