101012120121011 has 24 divisors (see below), whose sum is σ = 119779151308992. Its totient is φ = 84796775148800.

The previous prime is 101012120120971. The next prime is 101012120121023. The reversal of 101012120121011 is 110121021210101.

It is not a de Polignac number, because 101012120121011 - 2³⁸ = 100737242214067 is a prime.

It is a super-2 number, since 2×101012120121011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012120121041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463160075 + ... + 463378116.

It is an arithmetic number, because the mean of its divisors is an integer number (4990797971208).

Almost surely, 2^{101012120121011} is an apocalyptic number.

101012120121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101012120121011 is a deficient number, since it is larger than the sum of its proper divisors (18767031187981).

101012120121011 is a wasteful number, since it uses less digits than its factorization.

101012120121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926538283 (or 926538272 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101012120121011 its reverse (110121021210101), we get a palindrome (211133141331112).

The spelling of 101012120121011 in words is "one hundred one trillion, twelve billion, one hundred twenty million, one hundred twenty-one thousand, eleven".