101101021021 has 64 divisors (see below), whose sum is σ = 138009231360. Its totient is φ = 71510376960.

The previous prime is 101101021019. The next prime is 101101021039. The reversal of 101101021021 is 120120101101.

It is not a de Polignac number, because 101101021021 - 2¹ = 101101021019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101020989 and 101101021007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101021051) 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, 57475540 + ... + 57477298.

It is an arithmetic number, because the mean of its divisors is an integer number (2156394240).

Almost surely, 2^101101021021 is an apocalyptic number.

101101021021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101021021 is a deficient number, since it is larger than the sum of its proper divisors (36908210339).

101101021021 is a wasteful number, since it uses less digits than its factorization.

101101021021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101101021021 its reverse (120120101101), we get a palindrome (221221122122).

The spelling of 101101021021 in words is "one hundred one billion, one hundred one million, twenty-one thousand, twenty-one".