101221120 has 288 divisors, whose sum is σ = 329656320. Its totient is φ = 28753920.

The previous prime is 101221103. The next prime is 101221147. The reversal of 101221120 is 21122101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101221097 and 101221106.

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, 1281241 + ... + 1281319.

It is an arithmetic number, because the mean of its divisors is an integer number (1144640).

Almost surely, 2^101221120 is an apocalyptic number.

101221120 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 101221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164828160).

101221120 is an abundant number, since it is smaller than the sum of its proper divisors (228435200).

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

101221120 is a wasteful number, since it uses less digits than its factorization.

101221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 101221120 is about 10060.8707376648. The cubic root of 101221120 is about 466.0405571730.

Adding to 101221120 its reverse (21122101), we get a palindrome (122343221).

The spelling of 101221120 in words is "one hundred one million, two hundred twenty-one thousand, one hundred twenty".