10111021112010 has 192 divisors, whose sum is σ = 30392324057088. Its totient is φ = 2107611148032.

The previous prime is 10111021112009. The next prime is 10111021112063. The reversal of 10111021112010 is 1021112011101.

It is a super-3 number, since 3×10111021112010³ (a number of 40 digits) contains 333 as substring.

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, 1229419 + ... + 4661921.

It is an arithmetic number, because the mean of its divisors is an integer number (158293354464).

Almost surely, 2^{10111021112010} is an apocalyptic number.

10111021112010 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 10111021112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15196162028544).

10111021112010 is an abundant number, since it is smaller than the sum of its proper divisors (20281302945078).

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

10111021112010 is a wasteful number, since it uses less digits than its factorization.

10111021112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432629 (or 3432616 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10111021112010 its reverse (1021112011101), we get a palindrome (11132133123111).

The spelling of 10111021112010 in words is "ten trillion, one hundred eleven billion, twenty-one million, one hundred twelve thousand, ten".