10201112223011 has 16 divisors (see below), whose sum is σ = 11116254482784. Its totient is φ = 9323559780864.

The previous prime is 10201112223007. The next prime is 10201112223047. The reversal of 10201112223011 is 11032221110201.

It is a happy number.

It is not a de Polignac number, because 10201112223011 - 2² = 10201112223007 is a prime.

It is a super-2 number, since 2×10201112223011² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201112223811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40205936 + ... + 40458861.

It is an arithmetic number, because the mean of its divisors is an integer number (694765905174).

Almost surely, 2^{10201112223011} is an apocalyptic number.

10201112223011 is a deficient number, since it is larger than the sum of its proper divisors (915142259773).

10201112223011 is a wasteful number, since it uses less digits than its factorization.

10201112223011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80665030.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10201112223011 its reverse (11032221110201), we get a palindrome (21233333333212).

The spelling of 10201112223011 in words is "ten trillion, two hundred one billion, one hundred twelve million, two hundred twenty-three thousand, eleven".