1010002100 has 36 divisors (see below), whose sum is σ = 2218128864. Its totient is φ = 399130080.

The previous prime is 1010002099. The next prime is 1010002117. The reversal of 1010002100 is 12000101.

It is a happy number.

1010002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52544 + ... + 69143.

Almost surely, 2^1010002100 is an apocalyptic number.

1010002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010002100 is an abundant number, since it is smaller than the sum of its proper divisors (1208126764).

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

1010002100 is a wasteful number, since it uses less digits than its factorization.

1010002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121784 (or 121777 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1010002100 is about 31780.5302032549. The cubic root of 1010002100 is about 1003.3229789135.

Adding to 1010002100 its reverse (12000101), we get a palindrome (1022002201).

The spelling of 1010002100 in words is "one billion, ten million, two thousand, one hundred".