101091012 has 48 divisors (see below), whose sum is σ = 260451072. Its totient is φ = 30261280.

The previous prime is 101090999. The next prime is 101091103. The reversal of 101091012 is 210190101.

It is a junction number, because it is equal to n+sod(n) for n = 101090982 and 101091000.

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, 6343 + ... + 15569.

It is an arithmetic number, because the mean of its divisors is an integer number (5426064).

Almost surely, 2^101091012 is an apocalyptic number.

101091012 is a gapful number since it is divisible by the number (12) 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 101091012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130225536).

101091012 is an abundant number, since it is smaller than the sum of its proper divisors (159360060).

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

101091012 is a wasteful number, since it uses less digits than its factorization.

101091012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9328 (or 9326 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 101091012 is about 10054.4026177590. The cubic root of 101091012 is about 465.8407912105.

The spelling of 101091012 in words is "one hundred one million, ninety-one thousand, twelve".