101261120 has 56 divisors (see below), whose sum is σ = 244778784. Its totient is φ = 39891456.

The previous prime is 101261099. The next prime is 101261131. The reversal of 101261120 is 21162101.

It is a junction number, because it is equal to n+sod(n) for n = 101261095 and 101261104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19079 + ... + 23801.

Almost surely, 2^101261120 is an apocalyptic number.

101261120 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 101261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122389392).

101261120 is an abundant number, since it is smaller than the sum of its proper divisors (143517664).

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

101261120 is an equidigital number, since it uses as much as digits as its factorization.

101261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4807 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 101261120 is about 10062.8584408209. The cubic root of 101261120 is about 466.1019381946.

The spelling of 101261120 in words is "one hundred one million, two hundred sixty-one thousand, one hundred twenty".