101021112011 has 4 divisors (see below), whose sum is σ = 102062566872. Its totient is φ = 99979657152.

The previous prime is 101021111981. The next prime is 101021112013. The reversal of 101021112011 is 110211120101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 110211120101 = 1399 ⋅78778499.

It is a cyclic number.

It is not a de Polignac number, because 101021112011 - 2²² = 101016917707 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101021111983 and 101021112001.

It is not an unprimeable number, because it can be changed into a prime (101021112013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 520727285 + ... + 520727478.

It is an arithmetic number, because the mean of its divisors is an integer number (25515641718).

Almost surely, 2^101021112011 is an apocalyptic number.

101021112011 is a deficient number, since it is larger than the sum of its proper divisors (1041454861).

101021112011 is an equidigital number, since it uses as much as digits as its factorization.

101021112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041454860.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101021112011 its reverse (110211120101), we get a palindrome (211232232112).

The spelling of 101021112011 in words is "one hundred one billion, twenty-one million, one hundred twelve thousand, eleven".