101421120 has 112 divisors (see below), whose sum is σ = 333207360. Its totient is φ = 26105856.

The previous prime is 101421097. The next prime is 101421179. The reversal of 101421120 is 21124101.

It is a happy number.

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 = 101421096 and 101421105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26019 + ... + 29661.

Almost surely, 2^101421120 is an apocalyptic number.

101421120 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 101421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166603680).

101421120 is an abundant number, since it is smaller than the sum of its proper divisors (231786240).

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

101421120 is a wasteful number, since it uses less digits than its factorization.

101421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101421120 is about 10070.8053302603. The cubic root of 101421120 is about 466.3473007644.

Adding to 101421120 its reverse (21124101), we get a palindrome (122545221).

The spelling of 101421120 in words is "one hundred one million, four hundred twenty-one thousand, one hundred twenty".