126101000 has 64 divisors (see below), whose sum is σ = 301466880. Its totient is φ = 49348800.

The previous prime is 126100991. The next prime is 126101011. The reversal of 126101000 is 101621.

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, 45659 + ... + 48341.

It is an arithmetic number, because the mean of its divisors is an integer number (4710420).

Almost surely, 2^126101000 is an apocalyptic number.

126101000 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 126101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150733440).

126101000 is an abundant number, since it is smaller than the sum of its proper divisors (175365880).

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

126101000 is a wasteful number, since it uses less digits than its factorization.

126101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 126101000 is about 11229.4701566904. The cubic root of 126101000 is about 501.4637109195.

Adding to 126101000 its reverse (101621), we get a palindrome (126202621).

The spelling of 126101000 in words is "one hundred twenty-six million, one hundred one thousand".