2002220101101 has 64 divisors (see below), whose sum is σ = 3007421706240. Its totient is φ = 1174483599360.

The previous prime is 2002220101087. The next prime is 2002220101127. The reversal of 2002220101101 is 1011010222002.

It is not a de Polignac number, because 2002220101101 - 2¹⁴ = 2002220084717 is a prime.

It is a super-2 number, since 2×2002220101101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002220102101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55388305 + ... + 55424441.

It is an arithmetic number, because the mean of its divisors is an integer number (46990964160).

Almost surely, 2^{2002220101101} is an apocalyptic number.

It is an amenable number.

2002220101101 is a deficient number, since it is larger than the sum of its proper divisors (1005201605139).

2002220101101 is a wasteful number, since it uses less digits than its factorization.

2002220101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36594.

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

Adding to 2002220101101 its reverse (1011010222002), we get a palindrome (3013230323103).

The spelling of 2002220101101 in words is "two trillion, two billion, two hundred twenty million, one hundred one thousand, one hundred one".