1061000100121 has 16 divisors (see below), whose sum is σ = 1192476393360. Its totient is φ = 937244528640.

The previous prime is 1061000100107. The next prime is 1061000100137. The reversal of 1061000100121 is 1210010001601.

It can be written as a sum of positive squares in 8 ways, for example, as 495587840400 + 565412259721 = 703980^2 + 751939^2 .

It is a cyclic number.

It is not a de Polignac number, because 1061000100121 - 2³¹ = 1058852616473 is a prime.

It is a super-2 number, since 2×1061000100121² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1061000100521) 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, 12410160 + ... + 12495361.

It is an arithmetic number, because the mean of its divisors is an integer number (74529774585).

Almost surely, 2^{1061000100121} is an apocalyptic number.

It is an amenable number.

1061000100121 is a deficient number, since it is larger than the sum of its proper divisors (131476293239).

1061000100121 is a wasteful number, since it uses less digits than its factorization.

1061000100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24905676.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1061000100121 its reverse (1210010001601), we get a palindrome (2271010101722).

The spelling of 1061000100121 in words is "one trillion, sixty-one billion, one hundred thousand, one hundred twenty-one".