101012021011011 has 128 divisors (see below), whose sum is σ = 162787341358080. Its totient is φ = 55022649344000.

The previous prime is 101012021010937. The next prime is 101012021011039. The reversal of 101012021011011 is 110110120210101.

It is not a de Polignac number, because 101012021011011 - 2¹⁰ = 101012021009987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101012021011711) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176893891 + ... + 177464003.

It is an arithmetic number, because the mean of its divisors is an integer number (1271776104360).

Almost surely, 2^{101012021011011} is an apocalyptic number.

101012021011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101012021011011 is a deficient number, since it is larger than the sum of its proper divisors (61775320347069).

101012021011011 is a wasteful number, since it uses less digits than its factorization.

101012021011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570357.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101012021011011 its reverse (110110120210101), we get a palindrome (211122141221112).

It can be divided in two parts, 1010 and 12021011011, that added together give a palindrome (12021012021).

The spelling of 101012021011011 in words is "one hundred one trillion, twelve billion, twenty-one million, eleven thousand, eleven".