101012122212221 has 32 divisors (see below), whose sum is σ = 112041457549056. Its totient is φ = 90297389952000.

The previous prime is 101012122212151. The next prime is 101012122212229. The reversal of 101012122212221 is 122212221210101.

It is not a de Polignac number, because 101012122212221 - 2³⁴ = 100994942343037 is a prime.

It is a super-2 number, since 2×101012122212221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012122212193 and 101012122212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012122212229) 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, 4241877911 + ... + 4241901723.

It is an arithmetic number, because the mean of its divisors is an integer number (3501295548408).

Almost surely, 2^{101012122212221} is an apocalyptic number.

101012122212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101012122212221 is a deficient number, since it is larger than the sum of its proper divisors (11029335336835).

101012122212221 is a wasteful number, since it uses less digits than its factorization.

101012122212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37973.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 101012122212221 its reverse (122212221210101), we get a palindrome (223224343422322).

The spelling of 101012122212221 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty-one".