1022100101121 has 32 divisors (see below), whose sum is σ = 1488334611456. Its totient is φ = 618770216000.

The previous prime is 1022100101047. The next prime is 1022100101123. The reversal of 1022100101121 is 1211010012201.

It is a cyclic number.

It is not a de Polignac number, because 1022100101121 - 2¹¹ = 1022100099073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022100101097 and 1022100101106.

It is not an unprimeable number, because it can be changed into a prime (1022100101123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207278026 + ... + 207282956.

It is an arithmetic number, because the mean of its divisors is an integer number (46510456608).

Almost surely, 2^{1022100101121} is an apocalyptic number.

1022100101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022100101121 is a deficient number, since it is larger than the sum of its proper divisors (466234510335).

1022100101121 is a wasteful number, since it uses less digits than its factorization.

1022100101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10613.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1022100101121 its reverse (1211010012201), we get a palindrome (2233110113322).

The spelling of 1022100101121 in words is "one trillion, twenty-two billion, one hundred million, one hundred one thousand, one hundred twenty-one".