101121048 has 112 divisors (see below), whose sum is σ = 325014480. Its totient is φ = 28880064.

The previous prime is 101121011. The next prime is 101121067. The reversal of 101121048 is 840121101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 101121048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 39586 + ... + 42062.

It is an arithmetic number, because the mean of its divisors is an integer number (2901915).

Almost surely, 2^101121048 is an apocalyptic number.

101121048 is a gapful number since it is divisible by the number (18) 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 101121048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162507240).

101121048 is an abundant number, since it is smaller than the sum of its proper divisors (223893432).

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

101121048 is an equidigital number, since it uses as much as digits as its factorization.

101121048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 101121048 is about 10055.8961808483. The cubic root of 101121048 is about 465.8869232658.

Adding to 101121048 its reverse (840121101), we get a palindrome (941242149).

The spelling of 101121048 in words is "one hundred one million, one hundred twenty-one thousand, forty-eight".