101020120011 has 12 divisors (see below), whose sum is σ = 145949197680. Its totient is φ = 67332325200.

The previous prime is 101020119979. The next prime is 101020120027. The reversal of 101020120011 is 110021020101.

It is a happy number.

It is not a de Polignac number, because 101020120011 - 2⁵ = 101020119979 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101020119975 and 101020120002.

It is not an unprimeable number, because it can be changed into a prime (101020120111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1157340 + ... + 1241561.

It is an arithmetic number, because the mean of its divisors is an integer number (12162433140).

Almost surely, 2^101020120011 is an apocalyptic number.

101020120011 is a deficient number, since it is larger than the sum of its proper divisors (44929077669).

101020120011 is a wasteful number, since it uses less digits than its factorization.

101020120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403586 (or 2403583 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101020120011 its reverse (110021020101), we get a palindrome (211041140112).

The spelling of 101020120011 in words is "one hundred one billion, twenty million, one hundred twenty thousand, eleven".