101000212101021 has 16 divisors (see below), whose sum is σ = 135205816915008. Its totient is φ = 67064050320000.

The previous prime is 101000212101001. The next prime is 101000212101049. The reversal of 101000212101021 is 120101212000101.

It is not a de Polignac number, because 101000212101021 - 2²³ = 101000203712413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000212100988 and 101000212101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000212101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43399185 + ... + 45667161.

It is an arithmetic number, because the mean of its divisors is an integer number (8450363557188).

Almost surely, 2^{101000212101021} is an apocalyptic number.

It is an amenable number.

101000212101021 is a deficient number, since it is larger than the sum of its proper divisors (34205604813987).

101000212101021 is a wasteful number, since it uses less digits than its factorization.

101000212101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327372.

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

Adding to 101000212101021 its reverse (120101212000101), we get a palindrome (221101424101122).

The spelling of 101000212101021 in words is "one hundred one trillion, two hundred twelve million, one hundred one thousand, twenty-one".