42100101021 has 16 divisors (see below), whose sum is σ = 61247208960. Its totient is φ = 25510755120.

The previous prime is 42100101019. The next prime is 42100101041. The reversal of 42100101021 is 12010100124.

It is a happy number.

It is not a de Polignac number, because 42100101021 - 2¹ = 42100101019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42100100988 and 42100101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42100101041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85506 + ... + 302508.

It is an arithmetic number, because the mean of its divisors is an integer number (3827950560).

Almost surely, 2^42100101021 is an apocalyptic number.

It is an amenable number.

42100101021 is a deficient number, since it is larger than the sum of its proper divisors (19147107939).

42100101021 is a wasteful number, since it uses less digits than its factorization.

42100101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222896.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 42100101021 its reverse (12010100124), we get a palindrome (54110201145).

The spelling of 42100101021 in words is "forty-two billion, one hundred million, one hundred one thousand, twenty-one".