10201121122010 has 128 divisors (see below), whose sum is σ = 22881219379200. Its totient is φ = 3188471143680.

The previous prime is 10201121121991. The next prime is 10201121122013. The reversal of 10201121122010 is 1022112110201.

It is a super-2 number, since 2×10201121122010² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10201121122013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23948471 + ... + 24370709.

It is an arithmetic number, because the mean of its divisors is an integer number (178759526400).

Almost surely, 2^{10201121122010} is an apocalyptic number.

10201121122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201121122010 is an abundant number, since it is smaller than the sum of its proper divisors (12680098257190).

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

10201121122010 is a wasteful number, since it uses less digits than its factorization.

10201121122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422596.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10201121122010 its reverse (1022112110201), we get a palindrome (11223233232211).

The spelling of 10201121122010 in words is "ten trillion, two hundred one billion, one hundred twenty-one million, one hundred twenty-two thousand, ten".