1021102100 has 72 divisors (see below), whose sum is σ = 2264756088. Its totient is φ = 399513600.

The previous prime is 1021102079. The next prime is 1021102109. The reversal of 1021102100 is 12011201.

It can be written as a sum of positive squares in 12 ways, for example, as 166358404 + 854743696 = 12898^2 + 29236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021102109) 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, 999590 + ... + 1000610.

Almost surely, 2^1021102100 is an apocalyptic number.

1021102100 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 1021102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132378044).

1021102100 is an abundant number, since it is smaller than the sum of its proper divisors (1243653988).

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

1021102100 is a wasteful number, since it uses less digits than its factorization.

1021102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1021102100 is about 31954.6882319324. The cubic root of 1021102100 is about 1006.9851277180.

Adding to 1021102100 its reverse (12011201), we get a palindrome (1033113301).

It can be divided in two parts, 1021 and 102100, that multiplied together give a square (104244100 = 10210²).

The spelling of 1021102100 in words is "one billion, twenty-one million, one hundred two thousand, one hundred".