1020111100121 has 16 divisors (see below), whose sum is σ = 1067335432320. Its totient is φ = 973127295360.

The previous prime is 1020111100103. The next prime is 1020111100139. The reversal of 1020111100121 is 1210011110201.

1020111100121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020111100103) and next prime (1020111100139).

It is a cyclic number.

It is not a de Polignac number, because 1020111100121 - 2¹⁴ = 1020111083737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1020111190121) 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, 45264626 + ... + 45287156.

It is an arithmetic number, because the mean of its divisors is an integer number (66708464520).

Almost surely, 2^{1020111100121} is an apocalyptic number.

It is an amenable number.

1020111100121 is a deficient number, since it is larger than the sum of its proper divisors (47224332199).

1020111100121 is a wasteful number, since it uses less digits than its factorization.

1020111100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27776.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1020111100121 its reverse (1210011110201), we get a palindrome (2230122210322).

The spelling of 1020111100121 in words is "one trillion, twenty billion, one hundred eleven million, one hundred thousand, one hundred twenty-one".