1220100211121 has 16 divisors (see below), whose sum is σ = 1333608046848. Its totient is φ = 1107024906000.

The previous prime is 1220100211081. The next prime is 1220100211123. The reversal of 1220100211121 is 1211120010221.

It is a cyclic number.

It is not a de Polignac number, because 1220100211121 - 2¹⁰ = 1220100210097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1220100211096 and 1220100211105.

It is not an unprimeable number, because it can be changed into a prime (1220100211123) 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, 29701046 + ... + 29742096.

It is an arithmetic number, because the mean of its divisors is an integer number (83350502928).

Almost surely, 2^{1220100211121} is an apocalyptic number.

1220100211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1220100211121 is a deficient number, since it is larger than the sum of its proper divisors (113507835727).

1220100211121 is a wasteful number, since it uses less digits than its factorization.

1220100211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46252.

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

Adding to 1220100211121 its reverse (1211120010221), we get a palindrome (2431220221342).

The spelling of 1220100211121 in words is "one trillion, two hundred twenty billion, one hundred million, two hundred eleven thousand, one hundred twenty-one".