101012020011011 has 8 divisors (see below), whose sum is σ = 101272263066000. Its totient is φ = 100751779890400.

The previous prime is 101012020010999. The next prime is 101012020011083. The reversal of 101012020011011 is 110110020210101.

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 101012020011011 - 2¹⁸ = 101012019748867 is a prime.

It is a super-2 number, since 2×101012020011011² (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 = 101012020010983 and 101012020011001.

It is not an unprimeable number, because it can be changed into a prime (101012020011311) 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, 79483736 + ... + 80744586.

It is an arithmetic number, because the mean of its divisors is an integer number (12659032883250).

Almost surely, 2^{101012020011011} is an apocalyptic number.

101012020011011 is a deficient number, since it is larger than the sum of its proper divisors (260243054989).

101012020011011 is a wasteful number, since it uses less digits than its factorization.

101012020011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467189.

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

Adding to 101012020011011 its reverse (110110020210101), we get a palindrome (211122040221112).

The spelling of 101012020011011 in words is "one hundred one trillion, twelve billion, twenty million, eleven thousand, eleven".