101020021011221 has 8 divisors (see below), whose sum is σ = 108945985579704. Its totient is φ = 93116226974400.

The previous prime is 101020021011157. The next prime is 101020021011233. The reversal of 101020021011221 is 122110120020101.

It can be written as a sum of positive squares in 4 ways, for example, as 41385161596900 + 59634859414321 = 6433130^2 + 7722361^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101020021011221 - 2⁶ = 101020021011157 is a prime.

It is a super-2 number, since 2×101020021011221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101020021011196 and 101020021011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020021011241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5542623446 + ... + 5542641671.

It is an arithmetic number, because the mean of its divisors is an integer number (13618248197463).

Almost surely, 2^{101020021011221} is an apocalyptic number.

It is an amenable number.

101020021011221 is a deficient number, since it is larger than the sum of its proper divisors (7925964568483).

101020021011221 is a wasteful number, since it uses less digits than its factorization.

101020021011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11085265831.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101020021011221 its reverse (122110120020101), we get a palindrome (223130141031322).

The spelling of 101020021011221 in words is "one hundred one trillion, twenty billion, twenty-one million, eleven thousand, two hundred twenty-one".