101300022120 has 128 divisors (see below), whose sum is σ = 331842096000. Its totient is φ = 24534266880.

The previous prime is 101300022113. The next prime is 101300022121. The reversal of 101300022120 is 21220003101.

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 = 101300022096 and 101300022105.

It is not an unprimeable number, because it can be changed into a prime (101300022121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1375186 + ... + 1446974.

It is an arithmetic number, because the mean of its divisors is an integer number (2592516375).

Almost surely, 2^101300022120 is an apocalyptic number.

101300022120 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 101300022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165921048000).

101300022120 is an abundant number, since it is smaller than the sum of its proper divisors (230542073880).

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

101300022120 is a wasteful number, since it uses less digits than its factorization.

101300022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72883 (or 72879 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101300022120 its reverse (21220003101), we get a palindrome (122520025221).

The spelling of 101300022120 in words is "one hundred one billion, three hundred million, twenty-two thousand, one hundred twenty".