1200011122101 has 32 divisors (see below), whose sum is σ = 1749124362240. Its totient is φ = 725757796800.

The previous prime is 1200011122081. The next prime is 1200011122181. The reversal of 1200011122101 is 1012211100021.

It is not a de Polignac number, because 1200011122101 - 2⁵ = 1200011122069 is a prime.

It is a super-2 number, since 2×1200011122101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200011122181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138517096 + ... + 138525758.

It is an arithmetic number, because the mean of its divisors is an integer number (54660136320).

Almost surely, 2^{1200011122101} is an apocalyptic number.

1200011122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1200011122101 is a deficient number, since it is larger than the sum of its proper divisors (549113240139).

1200011122101 is a wasteful number, since it uses less digits than its factorization.

1200011122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16977.

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

Adding to 1200011122101 its reverse (1012211100021), we get a palindrome (2212222222122).

The spelling of 1200011122101 in words is "one trillion, two hundred billion, eleven million, one hundred twenty-two thousand, one hundred one".