101040220120 has 256 divisors, whose sum is σ = 285092732160. Its totient is φ = 31436439552.

The previous prime is 101040220093. The next prime is 101040220121. The reversal of 101040220120 is 21022040101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101040220120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101040220121) 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, 19899022 + ... + 19904098.

It is an arithmetic number, because the mean of its divisors is an integer number (1113643485).

Almost surely, 2^101040220120 is an apocalyptic number.

101040220120 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 101040220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142546366080).

101040220120 is an abundant number, since it is smaller than the sum of its proper divisors (184052512040).

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

101040220120 is a wasteful number, since it uses less digits than its factorization.

101040220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101040220120 its reverse (21022040101), we get a palindrome (122062260221).

The spelling of 101040220120 in words is "one hundred one billion, forty million, two hundred twenty thousand, one hundred twenty".