1220121101001 has 32 divisors (see below), whose sum is σ = 1822872038400. Its totient is φ = 719408710080.

The previous prime is 1220121100987. The next prime is 1220121101039. The reversal of 1220121101001 is 1001011210221.

It is not a de Polignac number, because 1220121101001 - 2⁷ = 1220121100873 is a prime.

It is a super-2 number, since 2×1220121101001² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1220121101071) 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, 13457860 + ... + 13548218.

It is an arithmetic number, because the mean of its divisors is an integer number (56964751200).

Almost surely, 2^{1220121101001} is an apocalyptic number.

1220121101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1220121101001 is a deficient number, since it is larger than the sum of its proper divisors (602750937399).

1220121101001 is a wasteful number, since it uses less digits than its factorization.

1220121101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101469.

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

Adding to 1220121101001 its reverse (1001011210221), we get a palindrome (2221132311222).

The spelling of 1220121101001 in words is "one trillion, two hundred twenty billion, one hundred twenty-one million, one hundred one thousand, one".