101121011012021 has 64 divisors (see below), whose sum is σ = 143930820257280. Its totient is φ = 68373313781760.

The previous prime is 101121011012009. The next prime is 101121011012039. The reversal of 101121011012021 is 120210110121101.

It is not a de Polignac number, because 101121011012021 - 2¹⁴ = 101121010995637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101121011011987 and 101121011012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121011011021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10523045 + ... + 17691141.

It is an arithmetic number, because the mean of its divisors is an integer number (2248919066520).

Almost surely, 2^{101121011012021} is an apocalyptic number.

101121011012021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101121011012021 is a deficient number, since it is larger than the sum of its proper divisors (42809809245259).

101121011012021 is a wasteful number, since it uses less digits than its factorization.

101121011012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168974.

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

Adding to 101121011012021 its reverse (120210110121101), we get a palindrome (221331121133122).

The spelling of 101121011012021 in words is "one hundred one trillion, one hundred twenty-one billion, eleven million, twelve thousand, twenty-one".