101012110221 has 16 divisors (see below), whose sum is σ = 150897699648. Its totient is φ = 59564880000.

The previous prime is 101012110219. The next prime is 101012110237. The reversal of 101012110221 is 122011210101.

It is not a de Polignac number, because 101012110221 - 2¹ = 101012110219 is a prime.

It is a super-2 number, since 2×101012110221² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101012110197 and 101012110206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012114221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41363280 + ... + 41365721.

It is an arithmetic number, because the mean of its divisors is an integer number (9431106228).

Almost surely, 2^101012110221 is an apocalyptic number.

101012110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101012110221 is a deficient number, since it is larger than the sum of its proper divisors (49885589427).

101012110221 is a wasteful number, since it uses less digits than its factorization.

101012110221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82729052.

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

Adding to 101012110221 its reverse (122011210101), we get a palindrome (223023320322).

The spelling of 101012110221 in words is "one hundred one billion, twelve million, one hundred ten thousand, two hundred twenty-one".