101021122011 has 8 divisors (see below), whose sum is σ = 134696773120. Its totient is φ = 67346442792.

The previous prime is 101021121979. The next prime is 101021122057. The reversal of 101021122011 is 110221120101.

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

It is not a de Polignac number, because 101021122011 - 2⁵ = 101021121979 is a prime.

It is a super-2 number, since 2×101021122011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101021122511) 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, 50046 + ... + 452268.

It is an arithmetic number, because the mean of its divisors is an integer number (16837096640).

Almost surely, 2^101021122011 is an apocalyptic number.

101021122011 is a deficient number, since it is larger than the sum of its proper divisors (33675651109).

101021122011 is an equidigital number, since it uses as much as digits as its factorization.

101021122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485945.

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

Adding to 101021122011 its reverse (110221120101), we get a palindrome (211242242112).

The spelling of 101021122011 in words is "one hundred one billion, twenty-one million, one hundred twenty-two thousand, eleven".