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1002210101001 = 321716340186459
BaseRepresentation
bin11101001010110000110…
…00001000011100001001
310112210212202010012002200
432211120120020130021
5112410011241213001
62044224200350413
7132256462205124
oct16453030103411
93483782105080
101002210101001
1135704252454a
1214229a175409
137367b125a05
1436715b933bb
151b10a7cb086
hexe958608709

1002210101001 has 24 divisors (see below), whose sum is σ = 1542195588960. Its totient is φ = 624979794816.

The previous prime is 1002210100897. The next prime is 1002210101003. The reversal of 1002210101001 is 1001010122001.

It is a happy number.

It is not a de Polignac number, because 1002210101001 - 213 = 1002210092809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1002210101003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20068291 + ... + 20118168.

It is an arithmetic number, because the mean of its divisors is an integer number (64258149540).

Almost surely, 21002210101001 is an apocalyptic number.

It is an amenable number.

1002210101001 is a deficient number, since it is larger than the sum of its proper divisors (539985487959).

1002210101001 is a wasteful number, since it uses less digits than its factorization.

1002210101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40186645 (or 40186642 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002210101001 its reverse (1001010122001), we get a palindrome (2003220223002).

The spelling of 1002210101001 in words is "one trillion, two billion, two hundred ten million, one hundred one thousand, one".

Divisors: 1 3 9 17 51 153 163 489 1467 2771 8313 24939 40186459 120559377 361678131 683169803 2049509409 6148528227 6550392817 19651178451 58953535353 111356677889 334070033667 1002210101001