1002210002101 has 12 divisors (see below), whose sum is σ = 1271821227840. Its totient is φ = 780942858360.

The previous prime is 1002210002099. The next prime is 1002210002153. The reversal of 1002210002101 is 1012000122001.

1002210002101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002210002101 - 2¹ = 1002210002099 is a prime.

It is a super-2 number, since 2×1002210002101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002210032101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 929693341 + ... + 929694418.

It is an arithmetic number, because the mean of its divisors is an integer number (105985102320).

Almost surely, 2^{1002210002101} is an apocalyptic number.

1002210002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002210002101 is a deficient number, since it is larger than the sum of its proper divisors (269611225739).

1002210002101 is a wasteful number, since it uses less digits than its factorization.

1002210002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859387784 (or 1859387777 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002210002101 its reverse (1012000122001), we get a palindrome (2014210124102).

The spelling of 1002210002101 in words is "one trillion, two billion, two hundred ten million, two thousand, one hundred one".