1010021100 has 144 divisors (see below), whose sum is σ = 3199961856. Its totient is φ = 243936000.

The previous prime is 1010021099. The next prime is 1010021123. The reversal of 1010021100 is 11200101.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1388937 + ... + 1389663.

Almost surely, 2^1010021100 is an apocalyptic number.

1010021100 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 1010021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599980928).

1010021100 is an abundant number, since it is smaller than the sum of its proper divisors (2189940756).

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

1010021100 is a wasteful number, since it uses less digits than its factorization.

1010021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1169 counting only the distinct ones).

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

The square root of 1010021100 is about 31780.8291270067. The cubic root of 1010021100 is about 1003.3292703252.

Adding to 1010021100 its reverse (11200101), we get a palindrome (1021221201).

The spelling of 1010021100 in words is "one billion, ten million, twenty-one thousand, one hundred".