1201420241021 has 108 divisors (see below), whose sum is σ = 1666469035476. Its totient is φ = 862580759040.

The previous prime is 1201420240939. The next prime is 1201420241027.

1201420241021 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 34350544921 + 1167069696100 = 185339^2 + 1080310^2 .

It is not a de Polignac number, because 1201420241021 - 2¹⁴ = 1201420224637 is a prime.

It is a super-2 number, since 2×1201420241021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1201420240984 and 1201420241002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201420241027) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1095186545 + ... + 1095187641.

It is an arithmetic number, because the mean of its divisors is an integer number (15430268847).

Almost surely, 2^{1201420241021} is an apocalyptic number.

1201420241021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1201420241021 is a deficient number, since it is larger than the sum of its proper divisors (465048794455).

1201420241021 is a wasteful number, since it uses less digits than its factorization.

1201420241021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 1201420 and 241021, that added together give a palindrome (1442441).

The spelling of 1201420241021 in words is "one trillion, two hundred one billion, four hundred twenty million, two hundred forty-one thousand, twenty-one".