1020100022121 has 16 divisors (see below), whose sum is σ = 1364474244224. Its totient is φ = 677897144064.

The previous prime is 1020100022057. The next prime is 1020100022129. The reversal of 1020100022121 is 1212200010201.

It is not a de Polignac number, because 1020100022121 - 2⁶ = 1020100022057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020100022097 and 1020100022106.

It is not an unprimeable number, because it can be changed into a prime (1020100022129) 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, 4506771 + ... + 4727703.

It is an arithmetic number, because the mean of its divisors is an integer number (85279640264).

Almost surely, 2^{1020100022121} is an apocalyptic number.

It is an amenable number.

1020100022121 is a deficient number, since it is larger than the sum of its proper divisors (344374222103).

1020100022121 is a wasteful number, since it uses less digits than its factorization.

1020100022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225840.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020100022121 its reverse (1212200010201), we get a palindrome (2232300032322).

The spelling of 1020100022121 in words is "one trillion, twenty billion, one hundred million, twenty-two thousand, one hundred twenty-one".