1021013100 has 108 divisors (see below), whose sum is σ = 3318917784. Its totient is φ = 272263680.

The previous prime is 1021013099. The next prime is 1021013131. The reversal of 1021013100 is 13101201.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×1021013100² = 2084935500743220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3292 + ... + 45308.

Almost surely, 2^1021013100 is an apocalyptic number.

1021013100 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 1021013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659458892).

1021013100 is an abundant number, since it is smaller than the sum of its proper divisors (2297904684).

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

1021013100 is a wasteful number, since it uses less digits than its factorization.

1021013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42046 (or 42027 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1021013100 is about 31953.2956046790. The cubic root of 1021013100 is about 1006.9558703498.

Adding to 1021013100 its reverse (13101201), we get a palindrome (1034114301).

The spelling of 1021013100 in words is "one billion, twenty-one million, thirteen thousand, one hundred".