1000220032101 has 8 divisors (see below), whose sum is σ = 1333740751200. Its totient is φ = 666756333872.

The previous prime is 1000220032051. The next prime is 1000220032129. The reversal of 1000220032101 is 1012300220001.

1000220032101 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000220032101 - 2²⁵ = 1000186477669 is a prime.

It is a super-2 number, since 2×1000220032101² (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 (1000220032901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14214270 + ... + 14284463.

It is an arithmetic number, because the mean of its divisors is an integer number (166717593900).

Almost surely, 2^{1000220032101} is an apocalyptic number.

It is an amenable number.

1000220032101 is a deficient number, since it is larger than the sum of its proper divisors (333520719099).

1000220032101 is a wasteful number, since it uses less digits than its factorization.

1000220032101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28510435.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1000220032101 its reverse (1012300220001), we get a palindrome (2012520252102).

The spelling of 1000220032101 in words is "one trillion, two hundred twenty million, thirty-two thousand, one hundred one".