11101001012010 has 640 divisors, whose sum is σ = 39008644899840. Its totient is φ = 2198183878656.

The previous prime is 11101001011939. The next prime is 11101001012047. The reversal of 11101001012010 is 1021010010111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11101001011983 and 11101001012001.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 449839792 + ... + 449864468.

It is an arithmetic number, because the mean of its divisors is an integer number (60951007656).

Almost surely, 2^{11101001012010} is an apocalyptic number.

11101001012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101001012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19504322449920).

11101001012010 is an abundant number, since it is smaller than the sum of its proper divisors (27907643887830).

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

11101001012010 is a wasteful number, since it uses less digits than its factorization.

11101001012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25092 (or 25083 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11101001012010 its reverse (1021010010111), we get a palindrome (12122011022121).

The spelling of 11101001012010 in words is "eleven trillion, one hundred one billion, one million, twelve thousand, ten".