101210120 has 128 divisors (see below), whose sum is σ = 264695040. Its totient is φ = 34467840.

The previous prime is 101210113. The next prime is 101210147. The reversal of 101210120 is 21012101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 101210098 and 101210107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738692 + ... + 738828.

It is an arithmetic number, because the mean of its divisors is an integer number (2067930).

Almost surely, 2^101210120 is an apocalyptic number.

101210120 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 101210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132347520).

101210120 is an abundant number, since it is smaller than the sum of its proper divisors (163484920).

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

101210120 is a wasteful number, since it uses less digits than its factorization.

101210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 101210120 is about 10060.3240504469. The cubic root of 101210120 is about 466.0236745572.

Adding to 101210120 its reverse (21012101), we get a palindrome (122222221).

The spelling of 101210120 in words is "one hundred one million, two hundred ten thousand, one hundred twenty".