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1002122101002 = 2311139257425039
BaseRepresentation
bin11101001010100110010…
…00011100000100001010
310112210122121112022210110
432211103020130010022
5112404321224213002
62044211334255150
7132254343212301
oct16452310340412
93483577468713
101002122101002
11356aa7889880
121422747b74b6
1373665b241c9
1436708207438
151b102be6e6c
hexe95321c10a

1002122101002 has 64 divisors (see below), whose sum is σ = 2210752051200. Its totient is φ = 300314849280.

The previous prime is 1002122100989. The next prime is 1002122101003. The reversal of 1002122101002 is 2001012212001.

It is not an unprimeable number, because it can be changed into a prime (1002122101003) 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, 2145199 + ... + 2570237.

It is an arithmetic number, because the mean of its divisors is an integer number (34543000800).

Almost surely, 21002122101002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002122101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105376025600).

1002122101002 is an abundant number, since it is smaller than the sum of its proper divisors (1208629950198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002122101002 is a wasteful number, since it uses less digits than its factorization.

1002122101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425451.

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

Adding to 1002122101002 its reverse (2001012212001), we get a palindrome (3003134313003).

The spelling of 1002122101002 in words is "one trillion, two billion, one hundred twenty-two million, one hundred one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 139 257 278 417 514 771 834 1529 1542 2827 3058 4587 5654 8481 9174 16962 35723 71446 107169 214338 392953 425039 785906 850078 1178859 1275117 2357718 2550234 4675429 9350858 14026287 28052574 59080421 109235023 118160842 177241263 218470046 327705069 354482526 649884631 655410138 1201585253 1299769262 1949653893 2403170506 3604755759 3899307786 7209511518 15183668197 30367336394 45551004591 91102009182 167020350167 334040700334 501061050501 1002122101002