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12001001022101 = 7132933311359817
BaseRepresentation
bin1010111010100011001101…
…1001110010001010010101
31120111021200101200021222002
42232220303121302022111
53033111022230201401
641305103405245045
72346020664401210
oct256506331621225
946437611607862
1012001001022101
1139076612365a3
121419a5ab63785
136908c6bc7060
142d6bcc914777
1515c290c54a6b
hexaea33672295

12001001022101 has 32 divisors (see below), whose sum is σ = 14865660918528. Its totient is φ = 9434294622720.

The previous prime is 12001001022089. The next prime is 12001001022103. The reversal of 12001001022101 is 10122010010021.

12001001022101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12001001022101 - 222 = 12000996827797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001001022103) 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, 8145545 + ... + 9505361.

It is an arithmetic number, because the mean of its divisors is an integer number (464551903704).

Almost surely, 212001001022101 is an apocalyptic number.

It is an amenable number.

12001001022101 is a deficient number, since it is larger than the sum of its proper divisors (2864659896427).

12001001022101 is a wasteful number, since it uses less digits than its factorization.

12001001022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360461.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12001001022101 its reverse (10122010010021), we get a palindrome (22123011032122).

The spelling of 12001001022101 in words is "twelve trillion, one billion, one million, twenty-two thousand, one hundred one".

Divisors: 1 7 13 91 293 331 2051 2317 3809 4303 26663 30121 96983 678881 1260779 1359817 8825453 9518719 17677621 123743347 398426381 450099427 2788984667 3150695989 5179542953 5851292551 36256800671 40959047857 131879132111 923153924777 1714428717443 12001001022101