101242020 has 96 divisors (see below), whose sum is σ = 311141376. Its totient is φ = 24393600.

The previous prime is 101242019. The next prime is 101242069. The reversal of 101242020 is 20242101.

It is a super-2 number, since 2×101242020² = 20499893227360800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101241987 and 101242005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138897 + ... + 139623.

It is an arithmetic number, because the mean of its divisors is an integer number (3241056).

Almost surely, 2^101242020 is an apocalyptic number.

101242020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155570688).

101242020 is an abundant number, since it is smaller than the sum of its proper divisors (209899356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101242020 is a wasteful number, since it uses less digits than its factorization.

101242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 101242020 is about 10061.9093615476. The cubic root of 101242020 is about 466.0726307736.

Adding to 101242020 its reverse (20242101), we get a palindrome (121484121).

The spelling of 101242020 in words is "one hundred one million, two hundred forty-two thousand, twenty".