101012011011 has 16 divisors (see below), whose sum is σ = 149683062400. Its totient is φ = 67325303304.

The previous prime is 101012010923. The next prime is 101012011043. The reversal of 101012011011 is 110110210101.

It is not a de Polignac number, because 101012011011 - 2²⁷ = 100877793283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012010984 and 101012011002.

It is not an unprimeable number, because it can be changed into a prime (101012016011) 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, 329461 + ... + 557286.

It is an arithmetic number, because the mean of its divisors is an integer number (9355191400).

Almost surely, 2^101012011011 is an apocalyptic number.

101012011011 is a deficient number, since it is larger than the sum of its proper divisors (48671051389).

101012011011 is an equidigital number, since it uses as much as digits as its factorization.

101012011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890975 (or 890969 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101012011011 its reverse (110110210101), we get a palindrome (211122221112).

The spelling of 101012011011 in words is "one hundred one billion, twelve million, eleven thousand, eleven".