1012010100 has 144 divisors (see below), whose sum is σ = 3065428800. Its totient is φ = 257438720.

The previous prime is 1012010099. The next prime is 1012010101. The reversal of 1012010100 is 10102101.

It is an interprime number because it is at equal distance from previous prime (1012010099) and next prime (1012010101).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012010101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 773647 + ... + 774953.

It is an arithmetic number, because the mean of its divisors is an integer number (21287700).

Almost surely, 2^1012010100 is an apocalyptic number.

1012010100 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 1012010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532714400).

1012010100 is an abundant number, since it is smaller than the sum of its proper divisors (2053418700).

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

1012010100 is a wasteful number, since it uses less digits than its factorization.

1012010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1012010100 is about 31812.1061861676. The cubic root of 1012010100 is about 1003.9874458095.

Adding to 1012010100 its reverse (10102101), we get a palindrome (1022112201).

The spelling of 1012010100 in words is "one billion, twelve million, ten thousand, one hundred".