11021210102100 has 288 divisors, whose sum is σ = 36080908924032. Its totient is φ = 2573856000000.

The previous prime is 11021210102093. The next prime is 11021210102113. The reversal of 11021210102100 is 120101212011.

It is a super-2 number, since 2×11021210102100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11885250 + ... + 12778950.

It is an arithmetic number, because the mean of its divisors is an integer number (125280933764).

Almost surely, 2^{11021210102100} is an apocalyptic number.

11021210102100 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 11021210102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18040454462016).

11021210102100 is an abundant number, since it is smaller than the sum of its proper divisors (25059698821932).

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

11021210102100 is a wasteful number, since it uses less digits than its factorization.

11021210102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893867 (or 893860 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11021210102100 its reverse (120101212011), we get a palindrome (11141311314111).

The spelling of 11021210102100 in words is "eleven trillion, twenty-one billion, two hundred ten million, one hundred two thousand, one hundred".