101001100102021 has 16 divisors (see below), whose sum is σ = 120010590085120. Its totient is φ = 83176982587440.

The previous prime is 101001100101907. The next prime is 101001100102031. The reversal of 101001100102021 is 120201001100101.

It is not a de Polignac number, because 101001100102021 - 2¹⁹ = 101001099577733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001100101989 and 101001100102007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001100102031) 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 15 ways as a sum of consecutive naturals, for example, 1674224721 + ... + 1674285046.

It is an arithmetic number, because the mean of its divisors is an integer number (7500661880320).

Almost surely, 2^{101001100102021} is an apocalyptic number.

It is an amenable number.

101001100102021 is a deficient number, since it is larger than the sum of its proper divisors (19009489983099).

101001100102021 is a wasteful number, since it uses less digits than its factorization.

101001100102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348509944.

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

Adding to 101001100102021 its reverse (120201001100101), we get a palindrome (221202101202122).

The spelling of 101001100102021 in words is "one hundred one trillion, one billion, one hundred million, one hundred two thousand, twenty-one".