101012121220021 has 8 divisors (see below), whose sum is σ = 110303822232864. Its totient is φ = 91738550357520.

The previous prime is 101012121220009. The next prime is 101012121220057. The reversal of 101012121220021 is 120022121210101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101012121220021 - 2¹³ = 101012121211829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012121219977 and 101012121220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012121220721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4532525931 + ... + 4532548216.

It is an arithmetic number, because the mean of its divisors is an integer number (13787977779108).

Almost surely, 2^{101012121220021} is an apocalyptic number.

101012121220021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101012121220021 is a deficient number, since it is larger than the sum of its proper divisors (9291701012843).

101012121220021 is a wasteful number, since it uses less digits than its factorization.

101012121220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9065075171.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101012121220021 its reverse (120022121210101), we get a palindrome (221034242430122).

The spelling of 101012121220021 in words is "one hundred one trillion, twelve billion, one hundred twenty-one million, two hundred twenty thousand, twenty-one".