1011010000 has 400 divisors, whose sum is σ = 3319037568. Its totient is φ = 288000000.

The previous prime is 1011009991. The next prime is 1011010019. The reversal of 1011010000 is 101101.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10009950 + ... + 10010050.

Almost surely, 2^1011010000 is an apocalyptic number.

1011010000 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 1011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659518784).

1011010000 is an abundant number, since it is smaller than the sum of its proper divisors (2308027568).

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

1011010000 is a wasteful number, since it uses less digits than its factorization.

1011010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1011010000 is about 31796.3834421464. The cubic root of 1011010000 is about 1003.6566128849.

Adding to 1011010000 its reverse (101101), we get a palindrome (1011111101).

Multiplying 1011010000 by its reverse (101101), we get a square (102214122010000 = 10110100²).

1011010000 divided by its reverse (101101) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 101 and 1010000, that multiplied together give a square (102010000 = 10100²).

The spelling of 1011010000 in words is "one billion, eleven million, ten thousand".