1022101102121 has 16 divisors (see below), whose sum is σ = 1130478720000. Its totient is φ = 916388586000.

The previous prime is 1022101102103. The next prime is 1022101102147. The reversal of 1022101102121 is 1212011012201.

It is a cyclic number.

It is not a de Polignac number, because 1022101102121 - 2¹⁰ = 1022101101097 is a prime.

It is a super-3 number, since 3×1022101102121³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022101102096 and 1022101102105.

It is not an unprimeable number, because it can be changed into a prime (1022101102721) 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, 1982621 + ... + 2444378.

It is an arithmetic number, because the mean of its divisors is an integer number (70654920000).

Almost surely, 2^{1022101102121} is an apocalyptic number.

1022101102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022101102121 is a deficient number, since it is larger than the sum of its proper divisors (108377617879).

1022101102121 is a wasteful number, since it uses less digits than its factorization.

1022101102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427300.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1022101102121 its reverse (1212011012201), we get a palindrome (2234112114322).

The spelling of 1022101102121 in words is "one trillion, twenty-two billion, one hundred one million, one hundred two thousand, one hundred twenty-one".