1021110210100 has 72 divisors (see below), whose sum is σ = 2292899729400. Its totient is φ = 394242240000.

The previous prime is 1021110210089. The next prime is 1021110210137. The reversal of 1021110210100 is 10120111201.

It can be written as a sum of positive squares in 12 ways, for example, as 516061203876 + 505049006224 = 718374^2 + 710668^2 .

It is a super-2 number, since 2×1021110210100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10009350 + ... + 10110850.

It is an arithmetic number, because the mean of its divisors is an integer number (31845829575).

Almost surely, 2^{1021110210100} is an apocalyptic number.

1021110210100 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 1021110210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146449864700).

1021110210100 is an abundant number, since it is smaller than the sum of its proper divisors (1271789519300).

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

1021110210100 is a wasteful number, since it uses less digits than its factorization.

1021110210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105013 (or 105006 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1021110210100 its reverse (10120111201), we get a palindrome (1031230321301).

The spelling of 1021110210100 in words is "one trillion, twenty-one billion, one hundred ten million, two hundred ten thousand, one hundred".