101241442120 has 192 divisors, whose sum is σ = 285655431600. Its totient is φ = 32008919040.

The previous prime is 101241442097. The next prime is 101241442193. The reversal of 101241442120 is 21244142101.

It can be written as a sum of positive squares in 8 ways, for example, as 60581945956 + 40659496164 = 246134^2 + 201642^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101241442091 and 101241442100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45582610 + ... + 45584830.

Almost surely, 2^101241442120 is an apocalyptic number.

101241442120 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 101241442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142827715800).

101241442120 is an abundant number, since it is smaller than the sum of its proper divisors (184413989480).

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

101241442120 is a wasteful number, since it uses less digits than its factorization.

101241442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 101241442120 its reverse (21244142101), we get a palindrome (122485584221).

The spelling of 101241442120 in words is "one hundred one billion, two hundred forty-one million, four hundred forty-two thousand, one hundred twenty".