1001020100 has 72 divisors (see below), whose sum is σ = 2228274048. Its totient is φ = 390153600.

The previous prime is 1001020093. The next prime is 1001020109. The reversal of 1001020100 is 10201001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1001020109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1752815 + ... + 1753385.

Almost surely, 2^1001020100 is an apocalyptic number.

1001020100 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 1001020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114137024).

1001020100 is an abundant number, since it is smaller than the sum of its proper divisors (1227253948).

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

1001020100 is a wasteful number, since it uses less digits than its factorization.

1001020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 998 counting only the distinct ones).

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

The square root of 1001020100 is about 31638.9016876376. The cubic root of 1001020100 is about 1000.3399177761.

Adding to 1001020100 its reverse (10201001), we get a palindrome (1011221101).

It can be divided in two parts, 100 and 1020100, that multiplied together give a square (102010000 = 10100²).

The spelling of 1001020100 in words is "one billion, one million, twenty thousand, one hundred".