1077121420221 has 64 divisors (see below), whose sum is σ = 1802531045376. Its totient is φ = 555802176000.

The previous prime is 1077121420189. The next prime is 1077121420223. The reversal of 1077121420221 is 1220241217701.

It is not a de Polignac number, because 1077121420221 - 2⁵ = 1077121420189 is a prime.

It is a super-3 number, since 3×1077121420221³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077121420223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45985705 + ... + 46009121.

It is an arithmetic number, because the mean of its divisors is an integer number (28164547584).

Almost surely, 2^{1077121420221} is an apocalyptic number.

1077121420221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1077121420221 is a deficient number, since it is larger than the sum of its proper divisors (725409625155).

1077121420221 is a wasteful number, since it uses less digits than its factorization.

1077121420221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24762.

The product of its (nonzero) digits is 3136, while the sum is 30.

Adding to 1077121420221 its reverse (1220241217701), we get a palindrome (2297362637922).

The spelling of 1077121420221 in words is "one trillion, seventy-seven billion, one hundred twenty-one million, four hundred twenty thousand, two hundred twenty-one".