101011221221021 has 32 divisors (see below), whose sum is σ = 110834670814560. Its totient is φ = 91697777049600.

The previous prime is 101011221220991. The next prime is 101011221221039. The reversal of 101011221221021 is 120122122110101.

It can be written as a sum of positive squares in 16 ways, for example, as 39806181297796 + 61205039923225 = 6309214^2 + 7823365^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011221221021 - 2¹⁴ = 101011221204637 is a prime.

It is a super-3 number, since 3×101011221221021³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011221121021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6357791 + ... + 15570611.

It is an arithmetic number, because the mean of its divisors is an integer number (3463583462955).

Almost surely, 2^{101011221221021} is an apocalyptic number.

It is an amenable number.

101011221221021 is a deficient number, since it is larger than the sum of its proper divisors (9823449593539).

101011221221021 is a wasteful number, since it uses less digits than its factorization.

101011221221021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9213105.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101011221221021 its reverse (120122122110101), we get a palindrome (221133343331122).

The spelling of 101011221221021 in words is "one hundred one trillion, eleven billion, two hundred twenty-one million, two hundred twenty-one thousand, twenty-one".